{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 导入工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np  # 矩阵操作\n",
    "import pandas as pd # SQL数据处理\n",
    "\n",
    "from sklearn.metrics import r2_score  #评价回归预测模型的性能\n",
    "\n",
    "import matplotlib.pyplot as plt   #画图\n",
    "import seaborn as sns\n",
    "\n",
    "# 图形出现在Notebook里而不是新窗口\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>instant</th>\n",
       "      <th>dteday</th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>2011-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.344167</td>\n",
       "      <td>0.363625</td>\n",
       "      <td>0.805833</td>\n",
       "      <td>0.160446</td>\n",
       "      <td>331</td>\n",
       "      <td>654</td>\n",
       "      <td>985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>2011-01-02</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.363478</td>\n",
       "      <td>0.353739</td>\n",
       "      <td>0.696087</td>\n",
       "      <td>0.248539</td>\n",
       "      <td>131</td>\n",
       "      <td>670</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>2011-01-03</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.196364</td>\n",
       "      <td>0.189405</td>\n",
       "      <td>0.437273</td>\n",
       "      <td>0.248309</td>\n",
       "      <td>120</td>\n",
       "      <td>1229</td>\n",
       "      <td>1349</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>2011-01-04</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.212122</td>\n",
       "      <td>0.590435</td>\n",
       "      <td>0.160296</td>\n",
       "      <td>108</td>\n",
       "      <td>1454</td>\n",
       "      <td>1562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>2011-01-05</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.226957</td>\n",
       "      <td>0.229270</td>\n",
       "      <td>0.436957</td>\n",
       "      <td>0.186900</td>\n",
       "      <td>82</td>\n",
       "      <td>1518</td>\n",
       "      <td>1600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   instant      dteday  season  yr  mnth  holiday  weekday  workingday  \\\n",
       "0        1  2011-01-01       1   0     1        0        6           0   \n",
       "1        2  2011-01-02       1   0     1        0        0           0   \n",
       "2        3  2011-01-03       1   0     1        0        1           1   \n",
       "3        4  2011-01-04       1   0     1        0        2           1   \n",
       "4        5  2011-01-05       1   0     1        0        3           1   \n",
       "\n",
       "   weathersit      temp     atemp       hum  windspeed  casual  registered  \\\n",
       "0           2  0.344167  0.363625  0.805833   0.160446     331         654   \n",
       "1           2  0.363478  0.353739  0.696087   0.248539     131         670   \n",
       "2           1  0.196364  0.189405  0.437273   0.248309     120        1229   \n",
       "3           1  0.200000  0.212122  0.590435   0.160296     108        1454   \n",
       "4           1  0.226957  0.229270  0.436957   0.186900      82        1518   \n",
       "\n",
       "    cnt  \n",
       "0   985  \n",
       "1   801  \n",
       "2  1349  \n",
       "3  1562  \n",
       "4  1600  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#数据路径\n",
    "dpath = '/Users/guoxudong/Documents/day.csv'\n",
    "data = pd.read_csv(dpath)\n",
    "#观察数据前五行，了解数据概况\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据基本信息"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(731, 16)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据探索"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 731 entries, 0 to 730\n",
      "Data columns (total 16 columns):\n",
      "instant       731 non-null int64\n",
      "dteday        731 non-null object\n",
      "season        731 non-null int64\n",
      "yr            731 non-null int64\n",
      "mnth          731 non-null int64\n",
      "holiday       731 non-null int64\n",
      "weekday       731 non-null int64\n",
      "workingday    731 non-null int64\n",
      "weathersit    731 non-null int64\n",
      "temp          731 non-null float64\n",
      "atemp         731 non-null float64\n",
      "hum           731 non-null float64\n",
      "windspeed     731 non-null float64\n",
      "casual        731 non-null int64\n",
      "registered    731 non-null int64\n",
      "cnt           731 non-null int64\n",
      "dtypes: float64(4), int64(11), object(1)\n",
      "memory usage: 91.5+ KB\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>instant</th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>366.000000</td>\n",
       "      <td>2.496580</td>\n",
       "      <td>0.500684</td>\n",
       "      <td>6.519836</td>\n",
       "      <td>0.028728</td>\n",
       "      <td>2.997264</td>\n",
       "      <td>0.683995</td>\n",
       "      <td>1.395349</td>\n",
       "      <td>0.495385</td>\n",
       "      <td>0.474354</td>\n",
       "      <td>0.627894</td>\n",
       "      <td>0.190486</td>\n",
       "      <td>848.176471</td>\n",
       "      <td>3656.172367</td>\n",
       "      <td>4504.348837</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>211.165812</td>\n",
       "      <td>1.110807</td>\n",
       "      <td>0.500342</td>\n",
       "      <td>3.451913</td>\n",
       "      <td>0.167155</td>\n",
       "      <td>2.004787</td>\n",
       "      <td>0.465233</td>\n",
       "      <td>0.544894</td>\n",
       "      <td>0.183051</td>\n",
       "      <td>0.162961</td>\n",
       "      <td>0.142429</td>\n",
       "      <td>0.077498</td>\n",
       "      <td>686.622488</td>\n",
       "      <td>1560.256377</td>\n",
       "      <td>1937.211452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.059130</td>\n",
       "      <td>0.079070</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.022392</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>22.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>183.500000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.337083</td>\n",
       "      <td>0.337842</td>\n",
       "      <td>0.520000</td>\n",
       "      <td>0.134950</td>\n",
       "      <td>315.500000</td>\n",
       "      <td>2497.000000</td>\n",
       "      <td>3152.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>366.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.498333</td>\n",
       "      <td>0.486733</td>\n",
       "      <td>0.626667</td>\n",
       "      <td>0.180975</td>\n",
       "      <td>713.000000</td>\n",
       "      <td>3662.000000</td>\n",
       "      <td>4548.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>548.500000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.655417</td>\n",
       "      <td>0.608602</td>\n",
       "      <td>0.730209</td>\n",
       "      <td>0.233214</td>\n",
       "      <td>1096.000000</td>\n",
       "      <td>4776.500000</td>\n",
       "      <td>5956.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>731.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.861667</td>\n",
       "      <td>0.840896</td>\n",
       "      <td>0.972500</td>\n",
       "      <td>0.507463</td>\n",
       "      <td>3410.000000</td>\n",
       "      <td>6946.000000</td>\n",
       "      <td>8714.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          instant      season          yr        mnth     holiday     weekday  \\\n",
       "count  731.000000  731.000000  731.000000  731.000000  731.000000  731.000000   \n",
       "mean   366.000000    2.496580    0.500684    6.519836    0.028728    2.997264   \n",
       "std    211.165812    1.110807    0.500342    3.451913    0.167155    2.004787   \n",
       "min      1.000000    1.000000    0.000000    1.000000    0.000000    0.000000   \n",
       "25%    183.500000    2.000000    0.000000    4.000000    0.000000    1.000000   \n",
       "50%    366.000000    3.000000    1.000000    7.000000    0.000000    3.000000   \n",
       "75%    548.500000    3.000000    1.000000   10.000000    0.000000    5.000000   \n",
       "max    731.000000    4.000000    1.000000   12.000000    1.000000    6.000000   \n",
       "\n",
       "       workingday  weathersit        temp       atemp         hum   windspeed  \\\n",
       "count  731.000000  731.000000  731.000000  731.000000  731.000000  731.000000   \n",
       "mean     0.683995    1.395349    0.495385    0.474354    0.627894    0.190486   \n",
       "std      0.465233    0.544894    0.183051    0.162961    0.142429    0.077498   \n",
       "min      0.000000    1.000000    0.059130    0.079070    0.000000    0.022392   \n",
       "25%      0.000000    1.000000    0.337083    0.337842    0.520000    0.134950   \n",
       "50%      1.000000    1.000000    0.498333    0.486733    0.626667    0.180975   \n",
       "75%      1.000000    2.000000    0.655417    0.608602    0.730209    0.233214   \n",
       "max      1.000000    3.000000    0.861667    0.840896    0.972500    0.507463   \n",
       "\n",
       "            casual   registered          cnt  \n",
       "count   731.000000   731.000000   731.000000  \n",
       "mean    848.176471  3656.172367  4504.348837  \n",
       "std     686.622488  1560.256377  1937.211452  \n",
       "min       2.000000    20.000000    22.000000  \n",
       "25%     315.500000  2497.000000  3152.000000  \n",
       "50%     713.000000  3662.000000  4548.000000  \n",
       "75%    1096.000000  4776.500000  5956.000000  \n",
       "max    3410.000000  6946.000000  8714.000000  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#数据探索\n",
    "data.info()\n",
    "\n",
    "#查看是否有空值\n",
    "data.isnull().sum()\n",
    "\n",
    "## 各属性的统计特性\n",
    "data.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6q0LKkpnZNHd08/7eY3aHEjI0gajP+dPacpJjI5kyJsnuUJQaMgsnppEWH8Ur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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110275710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.cnt.values, bins=30, kde=True)\n",
    "plt.xlabel('Median value of cnt', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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514hNEDErK36mojJh6xL3nvwffegBlJXBZ1KXvPpuarL1qoJngNEwxphmFVed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\nFFUAiqIoM8r/B6/AOZPGGP84AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110382978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(range(data.shape[0]), data[\"cnt\"].values,color='red')\n",
    "plt.title(\"Distribution of cnt\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1100d39b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#季节\n",
    "sns.countplot(data.season);\n",
    "plt.xlabel('season');\n",
    "plt.ylabel('Number of season');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11060eb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#是否节假日\n",
    "sns.countplot(data.holiday,order=[0, 1]);\n",
    "plt.xlabel('holiday');\n",
    "plt.ylabel('Number of holiday');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11051e080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#星期\n",
    "sns.countplot(data.weekday);\n",
    "plt.xlabel('weekday');\n",
    "plt.ylabel('Number of weekday');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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a9n2Xtj1JTk2yLsn1SV4xVF2SpH6GHEH8JXDIJm0nABdX1Qrg4nYf4FBgRftaDZw2YF2S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\nCElSJwNCktTJgJAkdfr/Bqknc08h9aQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1103e5e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#是否工作日\n",
    "sns.countplot(data.weathersit,order=[0, 1]);\n",
    "plt.xlabel('workingday');\n",
    "plt.ylabel('Number of workingday');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fb9R8LKMrsmnPx01pv6hGbgAWJFk0rtokSZs322MQz66qewHa87Na+2Lg7in91rQ2SdJA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\nEJKkTgaEJKmTASFJ6vT/AQuJHCk0t25qAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11049ce48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#天气\n",
    "sns.countplot(data.weathersit);\n",
    "plt.xlabel('weathersit');\n",
    "plt.ylabel('Number of weathersit');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IJ+64bCpZacn86I3DXpcS09T0iyO/2VjL3uNdPHT3An69sdbrckQ8kZeZyocW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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11073c2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#气温摄氏度\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.temp.values,bins=30,kde=True)\n",
    "plt.xlabel('temp',fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Y8ZONh70uxTcU7nHgwQ2HOdDYzZduWkByQD8y8Z/J+RlcM38ij2w+Qk//oNfl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\nEREfUriLiPiQwl1ExIf+P8CM63LIlVDWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fe7fa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#体感温度\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.atemp.values,bins=30,kde=True)\n",
    "plt.xlabel('atemp',fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tlbtMOeccj+1o4dm9bdTNLeSzty72OpKkmLtWzWH57AL+9te7Od4/7HWcaaFy\nlyk1GnE8vOUIL9R3cNW8It69ohIznYUq0ysYMP7+vZfSfXKYL6zd6XWcaaHZMjJlBobC/GjjIRra\n+7hpSRk3LipTscu0GW/W1ppFZfxq21Fy0oP8w+3LPUg1fXTkLlOipfskD6xroKmzn9uvmM1Ni8tV\n7OK562pLqSrM4pdbj9LWM+h1nCmlcpe4cs7xamMn31i3n9GI4563zmPl3EKvY4kAY8Mzd6ysIhyJ\n8KmHXmNkNOJ1pCmjcpe46eof5mPf28zabUepKcnhkzcsoKoo2+tYIm9SmpfBe1fMZkNzF196ZLfX\ncaaMxtwlLl5q6ODPfryVEwMj/O6lM7l6fjEBDcNIgrqsagY5GSG+81ITy2cX8N4rZnsdKe5U7nJR\n+ofCfPnJfXznpSbmleTwX390JdsOdXsdS2RCn7ttMTuPdvOXD2+nJDeD63x2UXaVu1ywZ/a08te/\n2MmREyf5wFVz+PxtS8lKD05Y7qm6Sp8klrRggAc/WMf7H3yFj39/M//z0VWsnFvkday40Zi7TFpb\nzyCf/MEW/vi7m8hOD/LTe6/m7959KVnpQa+jiUxKQXYa3//IasrzM/ij/9rIpuYuryPFjcpdYjY4\nMsq3Xmjkpi8/x5O7W/m/Ny/kkU+/lbpq/xztSOopzcvgfz66muLcDO7+1noee73F60hxoXKXCQ2F\nR/nxxoPc+C/r+LtHdrNiTiGP/+l1fOrGWtJDeglJ8ptdmM3D913Dsln5fOKhLXz16XrCST5NUmPu\nck7tvUP8ZPMhvvtSM229QyyfXcC/vO8ymjsHeGV/J6/sT+2ry4u/FOWk89DHruIvH97Ol5/cx3P7\n2vm337+cOcXJOZ1X5S5v0tU/zHP72vj1thbW7WtnNOJ4a20J//r7l/GWBSWYGc2dekNU/CkzLci/\nv/9yblhUxl//cgc3//tz/PG1NXz8+vkUZKV5HW9SYip3M7sF+AoQBL7lnPuHM57PAL4HrAQ6gfc7\n55rjG1Xi7eTwKAe6+tl7rJeth06w5eAJth8+gXNQnp/Bx946jztWVrKgLM/rqCLTxsx494pKrqwp\n4p9/s4evr9vPQxsOcteqOdx15ZykOZK3iRavN7MgsA/4HeAwsBG4yzm367RtPgEsd87da2Z3Au9x\nzr3/fF+3rq7Obdq06WLzT7uJpvHdvXrONCUZ30PrDxJxjoHhUfqHwvQNhd/0sSwvk+bOfg50DnDs\ntLU1MtMCLK+cwTULihkOR5g1I0snIYmvxfq7uuNIN195up6nd7cScbCqpogbFpVx/cJSFpbnTvtl\nIs1ss3OubsLtYij3q4G/cc6bZco6AAAHMElEQVS9Pfr4cwDOub8/bZvHo9u8YmYh4BhQ6s7zxeNR\n7s45Im5sWdmIG7uNRhyRCIw6x8hohJPDo5wcid6GR994PDxK/3D4tyU4MDxK31CYgeEw/UOjb/rY\nNzTKcHiUQMAYDkcwMwJAMGikBwNkhAJkhIKkhwIsnplHTnqInIwQuRlBstND5GaEyM4IkpMRIic9\nRHZ6kGDACAWMwKmPZoSCYx+HwxGGRyMMjZz6OPrbx31DYbpPjtBzcoTu6K1ncOzj8f4RDp84ycBQ\nmPH+xxtQkpfBnKJsqotzqC7Oprokh5qSHBZV5JEWfZFqHrqkgskeiLV0n+R/Nx7m8Z3H2NXSA4wd\nFC2Zmc/80lyqCrOZWZBJflYaBVlp5GeFKMhKIzs9RChopAUChIJjv+8Xs4herOUey7BMJXDotMeH\ngdXn2sY5FzazbqAY6Igtbuwee72FP/nha4w6R7yumBUKWLR4g2Sf+pgeYtaMdHKiBZ0RCuCcY8+x\nXhxjf1jCo46h8BsF3DM4wvrGEfqHx46SR0an9pJeWWlBCk57Ic0tziY/K43cjCC5Gaf+wLzxMSs9\nyAeumjulmUT8amZBFp95Wy2feVstrT2DvLy/gx1HethxpJsX6ttp7RmK+Wvdt2Y+f3nL1F60JpZy\nH+9PzJmtFcs2mNk9wD3Rh31mtjeG759oSpiCP1rT5YNv3E3q/TiN9iOxJM1+/MH5n57S/fjsP8Jn\nL/w/j+kILZZyPwxUnfZ4NnDmhQhPbXM4OixTAJx1qpdz7kHgwViCJSoz2xTLP4kSnfYjsWg/Eosf\n9iOWdwI2ArVmVmNm6cCdwNoztlkL/GH0/h3AM+cbbxcRkak14ZF7dAz9U8DjjE2F/I5zbqeZfRHY\n5JxbC3wb+L6ZNTB2xH7nVIYWEZHzi2meu3PuUeDRMz73hdPuDwLvi2+0hJXUw0qn0X4kFu1HYkn6\n/ZhwKqSIiCQfrfokIuJDKvdxmNktZrbXzBrM7KwZS2aWYWY/jj6/3syqpz9lbGLYl/9jZrvMbLuZ\nPW1mCTkRfqL9OG27O8zMmVlCznSIZT/M7PejP5OdZvbQdGeMRQyvqzlm9qyZvRZ9bd3mRc6JmNl3\nzKzNzHac43kzs69G93O7mV0x3RkvmHNOt9NujL1pvB+YB6QD24ClZ2zzCeA/ovfvBH7sde6L2Jcb\ngOzo/fsScV9i2Y/odnnA88CrQJ3XuS/w51ELvAYURh+XeZ37AvfjQeC+6P2lQLPXuc+xL9cBVwA7\nzvH8bcBjjJ3LcxWw3uvMsd505H62VUCDc67ROTcM/Ah41xnbvAv47+j9nwI32cWcTzx1JtwX59yz\nzrmB6MNXGTuPIdHE8jMB+Fvgn4DBcZ5LBLHsx8eAB5xzxwGcc23TnDEWseyHA/Kj9ws4+9yYhOCc\ne55xzsk5zbuA77kxrwIzzGzm9KS7OCr3s4233ELlubZxzoWBU8stJJpY9uV0H2HsKCXRTLgfZrYC\nqHLO/Xo6g01SLD+PhcBCM3vJzF6NrsiaaGLZj78BPmBmhxmbafcn0xMt7ib7O5QwtJ772eK23EIC\niDmnmX0AqAOun9JEF+a8+2FmAeDfgA9PV6ALFMvPI8TY0Mwaxv4V9YKZLXPOnZjibJMRy37cBXzX\nOfev0cUHvx/dj2S7vFGy/K6fRUfuZ5vMcgucb7mFBBDLvmBmbwM+D7zTORf76kfTZ6L9yAOWAevM\nrJmxsdG1CfimaqyvrV8650acc03AXsbKPpHEsh8fAf4XwDn3CpDJ2HotySam36FEpHI/m5+WW5hw\nX6LDGf/JWLEn4vguTLAfzrlu51yJc67aOVfN2HsH73TOJdoFA2J5bf2CsTe5MbMSxoZpGqc15cRi\n2Y+DwE0AZraEsXJvn9aU8bEW+FB01sxVQLdzLjmuoO31O7qJeGPsHfJ9jM0I+Hz0c19krDBg7IX6\nE6AB2ADM8zrzRezLU0ArsDV6W+t15gvZjzO2XUcCzpaJ8edhwJeBXcDrwJ1eZ77A/VgKvMTYTJqt\nwM1eZz7HfvwQaAFGGDtK/whwL3DvaT+PB6L7+Xqivq7Gu+kMVRERH9KwjIiID6ncRUR8SOUuIuJD\nKncRER9SuYuI+JDKXVKGmVWfa/U/Eb9RuYuI+JDKXVJN0My+GV0r/QkzyzKzdaeWKjCzkugSBpjZ\nh83sF2b2KzNrMrNPRde/fy26qFeRp3sich4qd0k1tYwtqXsJcAK4fYLtlwF3M7bM7ZeAAefcCuAV\n4ENTGVTkYqjcJdU0Oee2Ru9vBqon2P5Z51yvc66dsaWdfxX9/Osx/LcinlG5S6o5fdXLUcaW2A3z\nxu9C5nm2j5z2OIKWzJYEpnIXgWZgZfT+HR7mEIkblbsI/Atwn5m9THKuOS5yFq0KKSLiQzpyFxHx\nIZW7iIgPqdxFRHxI5S4i4kMqdxERH1K5i4j4kMpdRMSHVO4iIj70/wGsxUswn1bpfgAAAABJRU5E\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fd92f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#湿度\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.hum.values,bins=30,kde=True)\n",
    "plt.xlabel('hum',fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5g2VTi+npD/Ls7lNkZ/i5e1mVOhspRj3yCKw52MKOEx1cW1OKT78gEoeun1nK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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fe3dba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#风速\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.windspeed.values,bins=30,kde=True)\n",
    "plt.xlabel('windspeed',fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7JJERUVCMkZd3VwFwzUIFxWR04awcfvbfLyM9OcTtT2xg7eajw68kEqN0e+wY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\niESkoBARkYgUFCIiEpGCQkREIvr/SWlkq35/ZakAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fc0fa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#非注册用户个数\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.casual.values,bins=30,kde=True)\n",
    "plt.xlabel('casual',fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ERdrjAbqS3xGIiHiAx4FLgFzgWhHJbVHtVqBKVYcDjwIPOfvmAvnAKGAa8ISI\nePy0+SnwVWB7i2NcAuQ4XzOBJ9vXVdOZ9h2q5ZlFpVw2ejCpdse56QKeEOGiUYO4bkIGe2pqeeKD\nYrtKq4sFcgprAlCsqiWqWg/MAaa3qDMdeN7Zng9c4IwYpgNzVLVOVUuBYqc9n22q6qoTo5dWjvGC\nei0BEkRkcHs6azrPH94v5nhjE/920Ui3QzF9zGmp8XznvGxEhKcXlbBt/xG3Q+ozAjmFlQrsaPa6\nHJjoq46qNohINZDklC9psW+qs+2vzUDiSAV2+++C6UxlB47y8tIyrjkznazkaBZvPdApx+nI1WBN\n7zI4Poo7pgzjuU+38afPSrl+4lBGDLR5uM4WyAiktUtpWt4S6qtOe8tPNg5EZKaIFIpIYUVFhZ8m\nTUd4+N1NhHqEuy/IcTsU04cl9Atn5pRhpMRE8Jcl2yned9jtkHq9QBJIOZDe7HUa0HKVsy/qiEgo\nEA9UtrFvIG0GEweqOltV81Q1LyXFFvDrbEW7qnlj9S5uPjuLgXGRbodj+riYiFBuOSeLpJhw/rJk\nO2WVR90OqVcLJIEsB3JEJEtEwvFOihe0qFMA3OhszwDeV+/CNQVAvohEiEgW3gnwZQG22VIB8G3x\nmgRUq6qdvnLZbxduIj4qjO+cl+12KMYA0C88lJvPziImMpQ/f1bKvhpbGr6z+E0gqtoAzAIWAhuB\neapaJCIPisgVTrVngSQRKQbuBe5z9i0C5gEbgLeBu1S10VebACJyt4iU4x1hrBWRZ5xjLABK8E7E\nPw1896R7b07K0pIDfLCpgjunZhMfZZdPmu4jLjKMW8/OIjQkhBeWbOdoXYPbIfVK0ptXuMzLy9PC\nwkK3w+iVVJWrnvyMnQeP8eG/f4WocM8X79lkt2nuuokZbb7fmf9fyiqP8syiEtIT+3Hz2ZmEhoQE\nFFNfJyIrVDXPXz27E90E5b2N+1hZdpB7vjriS8nDmO4kI7Ef3zgjldL9R3hzrZ3x7miWQEy7NTYp\nv1n4OcOSo7l6fJrb4RjTprHp/Tl3eDJLSytZW37Q7XB6FUsgpt1eW7WTzXsP8+8Xj7QnDZoe4aJR\ng8hI7Mdrq3ay/3Cd2+H0GvbTb9qlrqGRR9/dzOmp8Vxymj0syvQMnhAh/8x0QkR4ZVkZdQ22+GJH\nsARi2uUvS8rYefAYP5p2Ct7VaozpGRL6hTNjfBq7q2v5/Xtb3A6nV7AEYgJ2qPY4j39QzDnDkzkn\nJ9ntcIxpt1MHx5E3tD9PfbSVFdsr3Q6nx7MEYgL2zKJSKo/U88OLbcFE03N97fTBDEmI4t55azhi\n94ecFEsgJiD7DtXy9KISLj2wfGzYAAATR0lEQVR9EGPSE9wOx5igRYR5ePjqMZRVHuW372xyO5we\nzZ6JbnxqfoPX66t3Unu8kVMGxfHy0jK7EcsErDveWDpxWBLXT8zg+c+28Y1xaZyeFu92SD2SjUCM\nX/sO1VK4rZIJWUkkx0S4HY4xHeKHF59CUkwE97+2lobGJrfD6ZEsgRi/3inaS5gnhPNPGeB2KMZ0\nmPioMH56eS7rd9bw/OKWD0A1gbAEYtq0bf8RNuyuYcqIFGIi7Iyn6V2+dvpgpo5M4eF3NtnjcINg\nCcT4pKq8tX43cZGhnJ1tl+2a3kdE+Pn002hS5acFRW6H0+NYAjE+Fe2qYUfVMb566kDCQ+2/iumd\n0hP78YOvjuDdDXt5e/0et8PpUey3gmnV8cYmFhbtYUBsBOMy+rsdjjGd6pZzsjhlUCw/KyjiUO1x\nt8PpMeyktmnVK8vKOHCknm+fNRRPiC1ZYnqX1i4tnjpyAE99tJU7/7KSS08f7HNfu4T9/9gIxPyL\nqiP1PPLuZoYlRzNyYKzb4RjTJTIS+5E3tD+fbd3PXnsMbkAsgZh/8Zt3NnGotoHLxgyxBRNNn3LR\nqEFEhHooWLOL3vy01o5ip7DMl6wrr+aVZWXcPDmLQXGRPut1x7uLjTlZMRGhXJg7kII1u1i7s5ox\nabZsT1tsBGK+0NSkPFCwnqTocO65MMftcIxxxYSsRIYkRPLWut3UHbfnhrQloAQiItNEZJOIFIvI\nfa28HyEic533l4pIZrP37nfKN4nIxf7aFJEsp40tTpvhTvlNIlIhIqudr9tOpuPmX/1tZTmryg5y\n3yWnEhcZ5nY4xrgiRIQrxqRSU9vA+5v2uR1Ot+Y3gYiIB3gcuATIBa4VkdwW1W4FqlR1OPAo8JCz\nby6QD4wCpgFPiIjHT5sPAY+qag5Q5bR9wlxVHet8PRNUj02ramqP89Dbn3NGRgLfGJfqdjjGuCoj\nsR/jh/bn02KbUG9LIHMgE4BiVS0BEJE5wHRgQ7M604GfOdvzgT+Id/Z1OjBHVeuAUhEpdtqjtTZF\nZCNwPnCdU+d5p90ng+qdaVPzeYw31+7iwOF6rjkzgznLd7gYlTHdw8WjBlG0q5q/r93FrWdn2QUl\nrQjkFFYq0Pw3SrlT1modVW0AqoGkNvb1VZ4EHHTaaO1YV4nIWhGZLyLpAcRuArCnppbFJQc4MyuR\n1IQot8MxpluIiQjlotxBlFQcYd3OarfD6ZYCSSCtpd2W17f5qtNR5QB/BzJVdTTwHt7Ryb8GKzJT\nRApFpLCioqK1KqaZJlVeW1lOZJiHi04d6HY4xnQrE7ISGRIfyYJ1u6lrsAn1lgJJIOVA87/204Bd\nvuqISCgQD1S2sa+v8v1AgtPGl46lqgecU2EATwPjWwtWVWerap6q5qWkpATQvb5t8dYD7Kg6xmWj\nB9PPVts15ku8E+pDqKlt4IPPbUK9pUASyHIgx7k6KhzvpHhBizoFwI3O9gzgffXehVMA5DtXaWUB\nOcAyX206+3zgtIHT5hsAItJ8bYErgI3t66ppqepIPe9s2MOIgTF2vbsxPmQkRTM+oz+fFO9nn02o\nf4nfBOLMR8wCFuL9pT1PVYtE5EERucKp9iyQ5EyS3wvc5+xbBMzDO+H+NnCXqjb6atNp60fAvU5b\nSU7bAHeLSJGIrAHuBm46ua73barKa6t3IiJcOTbVJgiNacPFp3nvUH999U6amuwO9ROkN9+un5eX\np4WFhW6H0S29sHgbD7xRxBVjhjBpWJLb4RjT7RVuq+TVVTv51TdOJ39C715QUURWqGqev3p2J3of\ntLXiML9csJERA2OYmJXodjjG9Ajjh/YnKzmaXy7YSMWhOv879AGWQPqYhsYm7p23hsgwD98Yl2an\nrowJ0InTvbXHm/jZ3+3phWAJpM95+N3NrNlxkP++8jTiomy5EmPaIyU2grsvGM6ba3fz5trdbofj\nOksgfciHm/bx5IdbuXZCOpeNHuJ2OMb0SN85L5vRafH85PV1ff5UliWQPmJPdS33zlvDKYNi+enl\no9wOx5geK9QTwsNXj+FIfSM/eX1dn35uiCWQPqCuoZHvvrSC2uONPH79GUSGedwOyZgeLWdgLP92\n4QgWFu1lXmHfXTvOEkgvp6r8+LX1rCw7yMNXjyE7JcbtkIzpFW47dxiTs5P4aUERW/YecjscV1gC\n6eWe/aSU+SvKueerOVxy+mD/OxhjAuIJEX53zViiw0OZ9fIqavvgw6csgfRib63bzS8WbOSS0wZx\n9/n2hEFjOtqAuEge/uYYNu09xE9eX9/n5kMsgfRSn23dz/fnrOaMjP488s2xhITY/R7GdIapIwdw\n9wU5zF9RzrOflLodTpey5Vd7obXlB5n5wgoyk/tx6WmDeW3VTrdDMqZXu+eCHDbtqeGXCzaSMzCW\n80b0jZXAbQTSy6zYXsX1Ty8loV8YL9wykahwu+LKmM4WEiI88s2xjBgYy6yXVrK+jzyAyhJIL7Kk\n5ADfenYpybERzLvjLAbFR7odkjF9RnREKM/ddCZxUWF8+7llFO/r/VdmWQLpJV5ftZNvP7uMIQlR\nzJ05iSH2aFpjutyQhCheum0inhDh+meWUrr/iNshdSpLID1cU5PyyDubuGfuasZlJPDXO85iQJyN\nPIxxS2ZyNH+5dSL1DU3MePIz1pX33tNZlkB6sH01tdz4p2U89n4xV49P48VbJ9I/OtztsIzp80YO\nimX+nZOJDPOQP3sxH22ucDukTmEJpAdSVd5ev5tpv1/E8m2V/PLrp/PrGaMJD7WP05juIjslhle/\nO5n0xH7c9Kdl/O69zTT2sqcZ2m+cHmb7gSPc8uflfOcvKxkUF8k/vncO103MsOd6GNMNDYyL5G93\nTubrY1P53XtbuOGZpZQdOOp2WB3G7gPpIcqrjvLEh1v5a+EOIkI9/L/LcrnxrKGEeuxvAGO6s+iI\nUB7+5hgmZSfxs4IiLnz0I2Z9ZTgzzxtGRGjPvszeEkg3pqosK63kpaVlvLXe+/Caa85M53vn5zDQ\nJsqN6TFEhG/mpXNuTjI//8cGHn53My8tLeP2KcO4dkI6/cJ75q9iCWTtFhGZBvwe8ADPqOqvWrwf\nAbwAjAcOANeo6jbnvfuBW4FG4G5VXdhWmyKSBcwBEoGVwLdUtb6tY/iSl5enhYWF/r8L3UhDYxNr\nyqt5Z8Me3l6/h+0HjhIbGcpVZ6Qxc8qwVi/PfXlpmQuRGtM3XTcx46Tb+Kx4P7//5xaWllYSFxnK\n5WOGcNX4NMalJ3SL09EiskJV8/zV85v2RMQDPA5cCJQDy0WkQFU3NKt2K1ClqsNFJB94CLhGRHKB\nfGAUMAR4T0RGOPv4avMh4FFVnSMiTzltP+nrGP6/Fd1XY5Oyp6aWz3fXULSrhlVlVSzfVsXhugZC\nQ4TJw5OZ9ZXhXDZ6iN1RbkwvMnl4MpOHJ1O4rZIXl2znbyvLeWlpGckxEUwZkcxZw5IYnZZAdkp0\ntz5NHci4aQJQrKolACIyB5gONE8g04GfOdvzgT+IN41OB+aoah1QKiLFTnu01qaIbATOB65z6jzv\ntPukr2NoJy5/qaqogp7YBue1txygoUmpb2jieGMT9Q1N1DV4/61vbOJofQM1xxqoOXacaudr36Fa\nyquOUV51jF0Hj9HQ7KqM7JRopo8dwqRhSUzJSSG+nz2z3JjeLC8zkbzMRA7VHuedor18uLmCDz7f\nx6srvevXhYeGkJYQRWr/KNL6R5GaEMXAuEhiI8OIjQwlJiKUmMhQosI8hHlCCPMIYZ4QQj1CWEhI\npy+iGkgCSQWaP3KrHJjoq46qNohINZDklC9psW+qs91am0nAQVVtaKW+r2PsD6AP7fLm2t3c9fLK\njm6WEIHkmAjSE/sxLiOBy8cMJjWhHzkDYzh1cBwxET3zPKgx5uTERoZx1fg0rhqfRlOTUrL/COt2\nHmTj7kOUVx1lZ9Ux3t1dw/7D9QG3eceUYdx/6amdGHVgCaS1FNbyr35fdXyVtzYma6t+oHEgIjOB\nmc7LwyKyqZX9XFMKLO/YJpPphCTaQ/TlvoP135X+X9/VB2yd377/50Pwn8G3PzSQSoEkkHIgvdnr\nNGCXjzrlIhIKxAOVfvZtrXw/kCAioc4opHl9X8f4ElWdDcwOoF+9gogUBjLZ1Rv15b6D9b8v97+7\n9D2Q2ZnlQI6IZIlION5J8YIWdQqAG53tGcD7ztxEAZAvIhHO1VU5wDJfbTr7fOC0gdPmG36OYYwx\nxgV+RyDOfMMsYCHeS26fU9UiEXkQKFTVAuBZ4EVnkrwSb0LAqTcP74R7A3CXqjYCtNamc8gfAXNE\n5L+BVU7b+DqGMcYYdwR0H4jpvkRkpnPars/py30H639f7n936bslEGOMMUHpvneoGGOM6dYsgfRQ\nIjJNRDaJSLGI3Od2PB1FRNJF5AMR2SgiRSLyfac8UUTeFZEtzr/9nXIRkcec78NaETmjWVs3OvW3\niMiNvo7Z3YiIR0RWicg/nNdZIrLU6cdc58ITnItT5jp9Xyoimc3auN8p3yQiF7vTk/YTkQQRmS8i\nnzv/B87qK5+9iPzA+T+/XkReEZHIbv/Ze++2tq+e9IX3woOtwDAgHFgD5LodVwf1bTBwhrMdC2wG\ncoFfA/c55fcBDznblwJv4b1PaBKw1ClPBEqcf/s72/3d7l+A34N7gZeBfziv5wH5zvZTwJ3O9neB\np5ztfGCus53r/J+IALKc/yset/sVYN+fB25ztsOBhL7w2eO9UboUiGr2md/U3T97G4H0TF8sL6Oq\n9XgXn5zuckwdQlV3q+pKZ/sQsBHvD9d0vL9ccP690tmeDrygXkvw3kc0GLgYeFdVK1W1CngXmNaF\nXQmKiKQBXwOecV4L3uV95jtVWvb9xPdkPnCBU/+LJYRUtRRovoRQtyUiccAUnCsvVbVeVQ/SRz57\nvFfFRjn3ufUDdtPNP3tLID1Ta8vLpPqo22M5w/JxwFJgoKruBm+SAQY41Xx9L3rq9+h3wH8ATc7r\ngJf3AZovIdQT+z4MqAD+5JzCe0ZEoukDn72q7gR+C5ThTRzVwAq6+WdvCaRnCmhZl55MRGKAvwH3\nqGpNW1VbKfO3LE63JCKXAftUdUXz4laq+lvep8f13REKnAE8qarjgCN4T1n50mv678zrTMd72mkI\nEA1c0krVbvXZWwLpmQJZXqbHEpEwvMnjJVV91Sne65yewPl3n1Pu63vRE79HZwNXiMg2vKclz8c7\nIklwTmtA68v7IIEvIdSdlQPlqrrUeT0fb0LpC5/9V4FSVa1Q1ePAq8BkuvlnbwmkZwpkeZkeyTmP\n+yywUVUfafZW86VsWi5x823nipxJQLVzmmMhcJGI9Hf+urvIKeu2VPV+VU1T1Uy8n+n7qno97V/e\nx9cSQt2aqu4BdojISKfoAryrWPT6zx7vqatJItLP+Rk40ffu/dm7ffWBfQX3hfcKlM14r7L4sdvx\ndGC/zsE75F4LrHa+LsV7fvefwBbn30SnvuB9ONlWYB2Q16ytW/BOIhYDN7vdt3Z+H6byf1dhDXN+\nCRQDfwUinPJI53Wx8/6wZvv/2PmebAIucbs/7ej3WKDQ+fxfx3sVVZ/47IH/Aj4H1gMv4r2Sqlt/\n9nYnujHGmKDYKSxjjDFBsQRijDEmKJZAjDHGBMUSiDHGmKBYAjHGGBMUSyDGdAIRuULaWCVZRMaK\nyKWdePyfici/d1b7xoAlEGP8cm5Ua9fPiqoWqOqv2qgyFu/9Le2Jw+8jqI3pSpZAjGmFiGQ6z6N4\nAlgJfEtEFovIShH5q7NWFyJyqfPsik+cZ1OceIbHTSLyB2f7aucZD2tE5GNn9YAHgWtEZLWIXCMi\n0SLynIgsdxYSnN6snb+KyN+Bd5yyHzr11orIfzWL+cfOMyDeA0ZiTCezv2iM8W0kcDPwAN61ib6q\nqkdE5EfAvSLya+CPwBRVLRWRV3y08wBwsaruFJEEVa0XkQfw3jk9C0BEfol3OYpbRCQBWOYkAoCz\ngNGqWikiF+FdnmIC3juxC0RkCt6FB/Pxrl4cijfpNV+U0ZgOZwnEGN+2q+oSZ5XcXOBT7zJFhAOL\ngVOAEvU+dwHgFWBmK+18CvxZRObhTUStuQjvQoon5i0igQxn+11VrWxW7yJglfM6Bm9CiQVeU9Wj\nACLSK9ZGM92bJRBjfDvi/Ct4f4lf2/xNERkXSCOq+h0RmYj3QVGrRWRsK9UEuEpVN7U4xsRmcZyo\n9z+q+scW9e6hmy9ZbnofmwMxxr8lwNkiMhzAWTF1BN6F74bJ/z2P+prWdhaRbFVdqqoPAPvxLrd9\nCO+o4YSFwPeclVjbSk4LgVuazcGkisgA4GPg6yISJSKxwOVB99aYANkIxBg/VLVCRG4CXhGRCKf4\nJ6q6WUS+C7wtIvvxvWz2b0QkB+/o4Z94n1ldBtwnIquB/wF+jvfZH2udJLINuKyVWN4RkVOBxU6u\nOQzcoKorRWQu3tWLtwOLOqDrxrTJVuM15iSISIyqHnZ+6T8ObFHVR92Oy5iuYKewjDk5tzujiCK8\nT4X7o5/6xvQaNgIxxhgTFBuBGGOMCYolEGOMMUGxBGKMMSYolkCMMcYExRKIMcaYoFgCMcYYE5T/\nD08HtJXnpOTZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f4a54a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#注册用户个数\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.registered.values,bins=30,kde=True)\n",
    "plt.xlabel('registered',fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#数据准备\n",
    "cols=data.columns \n",
    "\n",
    "#相关系数\n",
    "data_corr = data.corr().abs()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SjXMLcWlSDe+Dv9Dm0AwqDvTJsFxx7zp0iVqNY7VSANgUyk+zDSPoELaYWhN7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\n/AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1166ae898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#使用热图答应相关系数\n",
    "plt.subplots(figsize=(13, 9))\n",
    "sns.heatmap(data_corr,annot=True)\n",
    "\n",
    "# Mask unimportant features\n",
    "sns.heatmap(data_corr, mask=data_corr < 1, cbar=False)\n",
    "\n",
    "#plt.savefig('house_coor.png' )\n",
    "plt.show()\n",
    "#该版本热图，颜色越浅相关系数越大（应该可以调整为颜色越深相关系数越大，后续可以Google一下）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "weathersit and temp = 0.99\n",
      "casual and registered = 0.95\n",
      "instant and season = 0.87\n",
      "dteday and yr = 0.83\n",
      "windspeed and registered = 0.67\n",
      "instant and casual = 0.66\n",
      "temp and registered = 0.63\n",
      "instant and registered = 0.63\n",
      "weathersit and registered = 0.63\n",
      "season and casual = 0.59\n",
      "workingday and atemp = 0.59\n",
      "season and registered = 0.57\n",
      "temp and casual = 0.54\n",
      "temp and windspeed = 0.54\n",
      "weathersit and windspeed = 0.54\n",
      "weathersit and casual = 0.54\n",
      "weekday and windspeed = 0.52\n"
     ]
    }
   ],
   "source": [
    "#相关系数大于0.5，则认为是相关的\n",
    "threshold = 0.5\n",
    "# List of pairs along with correlation above threshold\n",
    "corr_list = []\n",
    "#size = data.shape[1]\n",
    "size = data_corr.shape[0]\n",
    "\n",
    "#Search for the highly correlated pairs\n",
    "for i in range(0, size): #for 'size' features\n",
    "    for j in range(i+1,size): #avoid repetition\n",
    "        if (data_corr.iloc[i,j] >= threshold and data_corr.iloc[i,j] < 1) or (data_corr.iloc[i,j] < 0 and data_corr.iloc[i,j] <= -threshold):\n",
    "            corr_list.append([data_corr.iloc[i,j],i,j]) #store correlation and columns index\n",
    "\n",
    "#Sort to show higher ones first            \n",
    "s_corr_list = sorted(corr_list,key=lambda x: -abs(x[0]))\n",
    "\n",
    "#Print correlations and column names\n",
    "for v,i,j in s_corr_list:\n",
    "    print (\"%s and %s = %.2f\" % (cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VhltlesTl9AhpMhiEVV78XEMiPXRWahhPQLoQwDcAbEJhHenzACbXslG1MrwD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\nxiML4++TjyycWZcRklFzVY5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Tke0islNENhbrmEFEPi8iLxbPvHlSCv4IQCeAfyieedNQ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109ec3518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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Jd8hAroaT5TwsDJjMZQhR+L5lsxOv24FgJI7n3jklrVGJEvDH5k5XqPR27j+D\n+2+cJGWgELc/suswtjXVSOo9o4INeZocr8uR0TcfiiXQsv8T3DPzKsVxNzX4cfCTz6Q2377xt1kv\nTMsVjK2HzgMAHps7HRPLvQiEB9amShwcAhF19daZnhB8Hqd0Ti1VZGdXQHFuJlk2l3xna8/VcNqp\nOgJDGzbjshC5Sy0UjaMnGFHMnnpDseRLQQh8HqeqBHxCmVexre66cfB5nOovpceJ0iIXQtEEHnzx\nICaPKTXkThPbasS14nU7UHfduLTjLt/ZjiW3VkptzmUmkzra7e6LwOdJJuYt8TgVggq1kfG6edXY\n+PpxxTlVZ7aNfrQdvaA4N3MHmUu+Zy6DcfmxNSr7w2ZcFpGq/Nu34qtYvfuIZgYKrRHq2d6Q4riV\nFSWqGSjE9TGf2ymNNtVSLGmNOo1myAhFE5rHrawoSZvNZDOT0RvtioMA+fZynxvbmmpR7HagsyuA\nDXs70HroPJwckc6pdsxiJ4fG2VfjvZO9LA7LIvI9c7FDrB1TF1oHM1wWkWoItHLyiR2s/EUbO8qD\n5bdPlVxkK26fgi1vdErGqe3oBaybV53mqnvunVNonH01fB6HZECMumv0XCs8TxWB0VpuurO9Iayf\nX42fvdaR8XxaqGX41ouNAQEWPLNf9xrVjsncQdaTz2zt+TacLJ7LWix1FRJCThNCjhBC2gkhB4Rt\nZYSQ1wkhJ4Sfo4XthBCyhRDSSQg5TAiZJTvOQuHzJwghC61ss1mkGgLRiMhJdV0Uuxz4xaLZ+NE3\nrkNr+39h6qNJ+XbD7InoWHsXti2shc/tQOPsq/HKR+ckufjWBTXYc+QCNu47gaUtH4HnkwlpRQNn\nxF2j5Vo50xNSuAw5jsDtINjc4E85rh8VpR6Uepzo7ouY6h7SW2jP1SXF3EHDn3ze43yrKoc7lgYg\nE0JOA6illF6SbfsZgF5K6U8JIf8EYDSldBUh5G4A/wDgbgCzAWymlM4mhJQBOACgFgAFcBBADaX0\nU63z2iEAOTWQsX7GeHz/LmUtKmnWAKSNztbNq5ZcX2rZLEQXxImLATzxZqckZpBnqsgmDZTaCFFs\nQ3dfRDo/z9Oku83NoS8cR2mRC2d7QxjtdaG0yAUgc1HIbMkUKM1cMgy7MVyLwlqMrQtJfgPALcL/\nXwDwFoBVwvbtNGlJ/0AIuYIQMk747OuU0l4AIIS8DuAuAC1D2+zsSPWxd/dFUOpxpuXp4ziCQCSe\ntr606uXDaK6fhtZD59PWicSRZCCSzKCu5SYTDV1pUXJireeukVwrOmtG6u4PPypGeVDkHDAWZruH\nMinU8l1AkMFIJd+qyuGO1ar+EPFcAAAgAElEQVRCCmAvIeQgIWSxsG0spfQCAAg/K4TtVwI4K9v3\nnLBNa7sCQshiQsgBQsiB7u5uky8je9RipEqLXCgpSnddaK0viQHFUhXkFMxWbnEckdaMxKBf6fzR\nhIb7ox18FnkIcyHfCjUGI1vYM2stVpv+Gyml5wkhFQBeJ4T8Seezaj0f1dmu3EDp0wCeBpKuwlwa\nazZGZwLy0ZmYf6+yogR94RhW3D4Fc2uuAqcyxLBiAVpXjUWQl6DSfC+0MxjZYsUzy1ziA1hquCil\n54WfXYSQXwG4HsBFQsg4SukFwRXYJXz8HIAJst2vAnBe2H5Lyva3rGz3UCMaC63A3teOXsB9N1yj\num+2AcSZEPP7iYHMwUhc4dLUcn+Yce5M7WLuQEYhYeYzy1SKSixzFRJCfISQUvH/AO4EcBRAKwBR\nGbgQwK+F/7cCaBLUhX8D4HPBldgG4E5CyGhBgXinsG3YII7OHvjKJNXA3q9OrUjLYZiKWUlNeZ6i\nNxTD4u0HMfXRPVi8PZmUlueppvuj2MnlPaEqgzGcsatKMZdExmZg5RrXWADvEEIOAXgfwG8opa8B\n+CmAOwghJwDcIfwOAK8COAmgE8A2AH8HAIIo418BfCD8+5Eo1BhOcBzRzIgxsdybksMw3SiY9WDr\nHUcrt2F/nM947kwPeL5eAIY+Vt6XfNzzQn3O8p37UY18VgCwzHBRSk9SSmcI/6ZRSn8sbO+hlH6N\nUjpF+NkrbKeU0iWU0msppdMppQdkx/o5pbRS+PecVW3ON1qxVBc/D2PjvhO6BsmsBzvTcdRiYzLt\nk+kBt0MJDD3UMvQXYueXLVbel3zcc/VzRpLVDWx+D+2YtT6fs0CWq9BGFDu5tMDezQ1+7P3PPys+\np2aQzHqwczlOpn0yPeB2dYMA2h3sz3930pZG1kysvC/5uOdaqtiuyxHb30M7qhTzOQtkhstG9Md5\n7Hz/jKKA4s73z+CrUysUn1MzJGY92LkcJ9M+mR5wO7pBRNQ6u2VC0U67GVmzsfK+5OOea51zQpk3\neQ+jCdvOrHMpQWQ1+ZwFMnmWjfC6HdjyRqdU2gRIRtv//dem4IbJ5brJQs2S3+ZynEz7ZArGtHOw\nZqYYO/F3OxhZs7HyvuTjnuuVuElWV3DgW9v244PTvVh6WyUarp+IZTvbFe9dmdeF/jifF0m63ZS1\n+UxkzGZcNkJzBBNJGBppmZWbLdvjZIovyTgjs6EbRETrnsgz4Od7rcEqrLwv+bjnWqVwnnizU8rL\nKc6s664bh2U7WeVsPfI5C7Q0V2G+sEOuwlxQi9XY3OhHudetqEVldRuyiccyGl+S6bh2Da5UvScN\nfux8/4yUsX84x9NYeV/ycc/FXJtejwNnekLYtO84Ll6OYEujHz/+zR/xSnsyW8zHP7kbVWvScw12\nrJ2Da3/wqrQtNY+oaW204bswBBi+SGa4bEYiwSMoJMXt7Aqg7egFNM6+ekg6xlyCHFOTCQPWvMzy\nNubyUg+mM0jdt9jJ5c1dxDCH1HvKEeA7zw88x23Lb07LA3rD5HI0109D3aa3pW1mJ84d4YHGhi+Q\nuQptRn+Mx4MvHsS1P3gVdZvelkqVDMXify5Kr6FcZM9VQj1Y6XWq69Th4FhJlAIn9Z4WOZVuxLaj\nF9IVvkNQOdvOCls7kf8VPoYEz1N4PflT2OVihLJdZB/MzMdolWaz9mNkT6G6ubQqZQ915WwzB4KF\nei+MwN5aGxGKJnApEMGXrinDmFKPlGz3bG8I4VgCXre1t8uoEZK/EKDAtqYaXApEMaHMK9XmUnuZ\nB+sGyfWltrPc3mzy2VkVuptLTbVX4lCWBMqkuB3s92+W2rLQ70UmmKvQJoizrU37jmNLgx/fv6sK\nza3HULVmD1bvPpLMVWixesmI0ivN7bb9AELRBFrb/0tqK5B8AVPjXwbrBsk1bsSOWQesIN8ZSEaC\nm0tPcWvG92+W2nK43wtmuGxCKJbAmZ4QLl6OIBzn8ciuwykPXbvlD50ReWumgNwxpR70ReJYtD39\n5R3szCfXlzrTfoWavy6VfHdWVs1sC+X+mPH9myUxH+5eBuYqtAled3K2tW5eNcZfUZy/VCoZghwz\nBeQuubVSMrpAcj2pZf8neOArk+DzOLFvxVex8fXjaUUqjbhBcg2y1ttvOLlU8t1ZWRFUXEj3x6zv\n34xAYzsH9ZsBm3HZhFA0gYuXI9iwtwN94Zhpri2zR6uZAnIrK0oUL2/9jPG4Z+ZVUpmU1buP4Pt3\nVeEe//ic3CC5Bllr7ZfvWYqZ5NslakVQcSHdn3x//3LsHNRvBiyOyybIR5ZjR3mwsq4Kj+w6bHiU\nqbYoDMD00WqmgNx9K76K1buPZIyH2dZUCxDkXenEU4qpj6YHmpoZmzNUDPXsROuZMyteTqy6XSj3\nx26zwwJUFbIA5EIzXIDyQQvHEuB5wOvJ/NCpvzB++NxOfCdDcHAuD7deQG44lkAwEsfSlmSOt461\nc1QzENil4xnqAGqrGarOyuxOWut4Po9DERgM2Pv+FKCxsBMsALkQkbuzvG4nSoqMucS0yjXwFIOq\nk2WknakBuV63E+U+j7S4HIrGbeM+UWO4uVTMyleZCbNdeFrH43kU1P0Zqu9/pGO/IQsja7xuB8aO\n8qBt+c2orChBZ1cAT77VCa/HoZ+VXSswt6kWJUX6j4beyFK+uOxzO/OWQdoIZmXVH2mYLQTRPJ7H\nAa/bwe4PQwEzXAWKwq0YTaStia2fX42eQATr5lVj1cuHVY2GXmfB8zRL16S6m2iwhmEoXC92KxdR\nCJitWtM8XiSRXAtlRoshg7kKC5BUF9/n/bG0uK9Hdh1GOMZjw94OqTDl0001CuOipYI60xPSdflk\nchOlKhkB5OQ+yXdALUObwbpYU5+RYiencjw/EjzP7j8jDSbOKEBSBQV6JRiq1uzRLTXSE4xIQoov\nXVOGTQ1+lPvcCMeSYgs1I6OnxAM1T8mYi3CCLY4PHTxPEY7LRESRhPTM6N0HrRl7apHG1IztgL2F\nGYxBw8QZw5lUF19nV0BDABHXjb7nOAKfx4nH5k5Hx9o52LqgBr98/wz+8p9fw6Lt2qNbrZlaIBxH\nKKo9G8s2pizbdZRCmKEVShYIowQjiYEsKcIzk0jwuvdBa8beH+eVGdtd9sr+MNzuXSHDDFcBkmo4\nnnizE+vnV6e5bXzuzO65IqcDPo8TZ3tDeGjHQWzcdyKjSszrcmBzo7Lkw7p51Xj+3VO62e2zNSrZ\nBnTaPVi1EAxrNuh933r3weiAxE4BvcPt3hU6zHBZjFmjNPlxOAJskRmO7r4ISj1ObGuqSc6wmmrh\n8xgblYriiYnlXs3OJLXt4j7i2llz/TRs2NuBLW90IhRR72ySsV1Z1vrKch0l3ymPMmF3w5otWt+3\nz+PUvQ9az0iqQTJ7HW0wRma43btChzmKLcSsIE2142xdMAvbmmqlAOViJ4feUAyLtu/P+lwcRxCI\nxFVVXWd6Qrh942/Tjtcf5VU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FHmuuLsNz75xKy9q+tKVdeqG3NM7EitunYOWdA0HCi7cf\nlFJOJUuWJLCspV1xzmUt7bj/xkkKGfqmBj+8Lgc27TuOdfOqM6YCmljuhcfBobsvopCyb9p3HEUu\nB3weJ6rW7EFpkUtz/0wjaXFWOZgsC5lqkTHshZpcnWV0Z6SSja/EC+AypfQ5QsgYQsgkIZPFiEVz\nMdmTLFdiNLA4FE2k1etatrMdTy6YJQXrpmZt50iyQ37gK5MUa0py8QEA+DRisUqKnHjqvuR6WGdX\nAL98/wwaZk/E5C/6sGFvB55cMAulRS70hWOqrrbL/TGM9rmlz/VH4/i8P4bH7/UjGInDQYgUTKy2\nfzASR2mRS/f7Fd18Wscw6u6zSvihBpsxmAubMTPUMDTjIoT8C5JqwNXCJheAHVY1qlDQChQ+0xNS\nDfzV+ryWcSktcmHlnVWonzFekbU9FBnIJq+1r9ftgNft0KyjFYzE8eCLB3HtD15F3aa3sXHfCSxr\nacfCGyehuy+C5tZjuPB5P7b//rRiBnbD5HKsn1+NH/76GCof3QP/j17HE2+cQCiWwMpdh6VZ32f9\nMTy5YBbajl6Q9r/HPx5vrbwFv1g0GwRIJtPVGUWLs0r5MeycqsdIwuXBHHskzjpYRneGGkbXuNoB\nzATwIaV0prDtMKW02uL25cTQrnFFFKIKUXiw8Zt+SbUmH4UHwnE8/+4pSbIurnGteOlQ2hqOuLYj\n/hTXlcp8bnjdTqkze/DFg+oKQQL8/Hcn04QNmxv9KPe5UbXmNcR5qlgj648mEIzG8cUSD/qjycxc\nxcLswedxIhSJoz+awFJZbNfWBTV4aEd6GzbeOwMlRU4UuxwIxxLojyUU39X6+dXY0NYhrN2pj6IH\nqyocSqxSxY3kWQdThY4oTFcVRimllBBCAYAQ4supWcMMccbz2NzpmFDmRWdXABv2JjM/6JWf39zo\nx5LbKpMdsNuBSIzH4/fOwPdeOqQwgBv2duCD072YMrYEv1g0G33hOBwEKHIOVAh+/t1TWDevWmmY\nGvxI8DxKPE40zr4aLfs/QXP9NKn4o08I/v3SNWUYU+pJy3SxudGPQDimyDG4ucGPYqcDFEDL+2ek\n43V2BTSzw1eMKgIhQE8ggmAkkZYJXsx7WLfpbc3YKrmbr7Qo6SCwqxrQqjikkRyLxlShDDWM5ip8\niRDyFJLpmhYB2Adgm3XNKhyKnEkhwoJn9uPrW36Xlq5IzdWxrKUd/TEepUUuODgOHicHr9uBJxfM\nSqvXJboexUKO/TIXidftwJY3OrFhbwea66dJ+5b53Hhox4foj/Mo97nx7ZsmY8rYEvTHki+7w8EN\niDvumJpWF2lZS3tajsFlO9vRH0/A504aQ7mQREzMK0dMDRWKJOB2cJhYrp4JXsx7OBwCTa0qMDlc\nAnNzcXcmn1N/ipvYbzs3cSZGqqvXKgwNWSilGwghdwC4jGQWjR9SSl+3tGUFQlqsSiQBjgNAkq4j\nvU5H/Ht/nEepx4lIgkdvMCJlrRDXk372WofMv98uBRmLNZRaD51XSNKb66dJ55DHdKXWByv3uVFe\nop7pQlxfAwZyDIoxYqmxOcVOLi3T9/r51Sj1OMFxwKLtH+LJBbM0M8GL/y/0UbRVcUjDYdYxGHen\n28FJXo2zvSG4HYVVuH0ku3qtIuNTTwhxAGijlN4OgBkrFUR3Fs9TYR1n4AF96r4a1U4nEI4rCjJu\naZyJMq8L8DixrakWXk/SCK555YhklAAhyNftxNRH92DpbZXY3ODHsp3taS5GIx0bxxFptqRmUMT1\nNXHmJyoB1VR65T6Pot0cJ7g0yUDpk00NfkXeQ3GNy65ii2yxqmxGJoNYCErGXN2doVgCD6nEARaS\nm3Qku3qtIuO3RilNEEJChJAvUEo/H4pGFSpqD+jz757C5kZ/WgDw8++eSnuQn7qvRmHMnm6qwcXL\nEcU5vnRNGS6HY4jzVAogFmdg8uzqyTWp5MhUr2NT6xTXzavGG3+6iOb6aZgytgRvrbwFo70uXcPC\ncQQlRYIxK3IqzrlvxVdx8XIYY0cVSWtj5z/rBwHw+L1+9AtrfVpB23bvlOVYIb3XM4iFMprP1d05\nHNykw+Ea7IbRNysM4Agh5HUAQXEjpXSpJa0qULxuZan7zq4AnnyrM9npyGcjBDh5KajYV3TFyY1Z\nscuRJrxYN69a0SFueaMTf/+1Kfhf/3ECddeNw+P3+tHZFcDO98/g2zdNhpcQ3Y5N7BSfbqqB152M\n6XrjTxdx21+OTRNslBpUcal1po/fOwOhaEIzA4bRTCN27JS1MNPoahnEQhnN5+ruHA5uUrtfQ6EN\nDgHjcviFatsppS+Y3iITyFeS3VA0jt5gVFEFeP38anzR50ZfSi7Cx++dgZ/u+VPa2lTdpoGk+23L\nb0bb0QuKVFDi7+LnROm7/0d7VSXD4VgCXZcjkupRK8Gt3EhkSrGU6UHXkoU/u7AWgWhcMfscrklX\nrTa68ntQCHLxXL+PQh+8APa+Bpu1zVw5PKX0BUJIMYCJlNKOnJs1zOF5SFWAgQHJ99b7arBUSLsk\nbv/eS4ew8d4ZePXIBf/7eIkAACAASURBVEX+QDltRy+gYfZEpZuxwY+d75+RFXKcCY4Dlt5WmWbg\nwrEEgpE4Vu8+kjHBLccRlHldeOq+GpRoyNu9bofiQR87yoPlt0/FxHIvAuG45O7Tco0UuR0ocjmM\nJ10tYBeLlTOh1EGGnUfzIrmu/1m1bjiU2PkaCmXGnoqhlhFC/huADQDcACYRQvwAfkQprbeycYWG\n16Pe0WrFOY39QhE61s5Bv5CxvXH21XjvZK9kZBpnX40yrytNwfftmybj7782RXoBKKVouH6iQqSx\nucEPnqdpBnPVy4fx2Nzpqh1bf5zHgy8e1O4MIwlQUJT53NgwvxoAwcpdh9JGaqGYvmvE6BqQ3V0s\nelhpdOWdzRNvdqa5k+0qdFFzdxpxUw1lyi6rsOs1FOrg0KiutBnJCsSfAQCltB3AJIvaVLBoxfFc\n7o+px/dEEljwzH6AAA4Hp5oM1uHgFElHU3/nOIL+OI9lO1MS6e5sh1cjHZRWglvxIRY7w9TYmQTP\nY/H2g6haswexBMXKXYdUU/EUOzlsblDG3sjFIkYRhSN2T/WkhlUxXYCys2k9dF6K4yu0JMJWpshi\nGMPK59RKjPYkcRVFIXu6oAws5AjSgiXXz6/GKx/9V5ohePzeGQhG44qOWC0zthE0k/dGNB7KSEL1\n2OJDLO8MO9bOkVSLoiw5zlNMKFMPKBbj0nYK2TXEoOid759Bf5zP5qst6MzuVhrd1M6m9dB5NLce\nk2aihfD9AObkIWSBvYOjUAeHRuesRwkh/wOAgxAyBcBSAL+3rlmFgdrC5pMLZmHrfTUo8Thx/rN+\neBwc2o5dRPvZz/DY3OmYWO7Fxc/DGFXsAhHSNxntaLTcKlouNY5DmtR9c6MfxW4uGfyc4paRS+Nf\nPXIB3X0RbF0wCw6OQ5HLgeb6aVL1Y72M7V63I001efJSMCf3g11dLJmwcl1juBRcHKybajCCj0JT\n0VmFndff9DCqKvQCeBTAncKmNgD/SimNaO+VP4ZKVailetswvxoJHlj18mGFgOG/Pu3H+rYOvHrk\nQtaqL72XFIDK3/zweZzwOAeS06Ym+FV7yeUvtSjuSE0ivGFvUp/z/buqFApK8XjheEJVXSkmBzZy\nrWZ2LPnuqHieJs+bEpw9lNeU7+9AjcGqRnPZ32YqOoYSwzfAqOGaTyndlWmbXRiy7PAamas71s7B\nP/6yHUturcSUsSVCYPBxhfQ9W9VOppdU0TFFEkjwvDJJrkbVY612JItQxhW1vsR9RLn8kwtmwckR\neFMytgfCMSxS2W9bU60UpKz5nWboWHLpsPPZUalVEBDTYYlZSIamDfbrrAfbrlwyxxdyiMUIwNwK\nyBiow5Vp24hCa2EzGIljxR1TUVlRgoufh3GF16WoFJyLWyeTW4XjCLwuhzSy/zQUUybJbWlH3XXj\nNPeXI3YoXre6uGPK2BI010/D9t+fRn+MBygU1Wq1RCFeT+Zr1lv3yGUxP9/1nEJCKRf5+R/ZdRif\nhmKmtkFvrSff34EWg13DzEVYUKgqOoYSXcNFCJlDCPk3AFcSQrbI/j0PID4kLbQx6gubflBKsXr3\nEVSt2YMVLx0CRTIt0/EfJ4UOZd7sR9qZXtLUTn317iNSEUpAmYldbX/FuYSOTqsI5YmLAan4ZGoH\nGIolcKYnlLNSSa9jyaUDzndHpXX+CWXetDbkKjTIZNDz/R3okasgCchNWFCoKjqGkkwzrvMADiCZ\n8umg7F8rgDprm2Z/1EaMPrdSfTem1INgJOlym/posjpwbyiWtfop00uq1qmvevkwltxaCWBgJmjk\nJdeTxW+YPwNPvNkpfTa1A/S6Hdi077iqnN7ILFOvY8mlAx6Kjkp3tqNx/rO9IUUbBiMNz2TQtdoQ\njiUKWpGXy4ytUFV0DCVG17hclNKY8P/RACZQSg9b3bhcyVfKJ56nAIHC7962/GbV9EmixDybhXK9\n9R299bYFz+yXss/3x/mM60PydQCxOvKUihIEInH4PA50dgUldeENk8vx7P214GnSaAUjcTz3zil0\ndgelqspne0OoGOUxLMzQWvcIxRK2W4w3siZnZI1rMGsvmdZ61Nq4dcEsRBO8ol12WPcaCuwoVGEA\nsECc8RaAeiTl8+0AugH8llK6IscGWko+DJfYORS7HFi0faAD+vgnd6NqjbpBqVqzx7QOQ7Pja6oF\nCBQzs0wvrNjZtuw/g7rrxuHaMT70hqKK1FPr5lXjlY/OYeGXr0nrAMW0VHrqxUzfpVo7ByN/DscT\n4HlIyj6tbPTZYsTgGFEVDqZEveE2yL5TUCieU3EfcUAVjsm+L9a5M4YG08UZX6CUXgYwF8BzlNIa\nALfn0rLhgJprSHTXfN4fxfr5A26ys73q6z2dXQFTF8q1XCDFLg6gAAXFpWAkzRWVSPBp18JxBKUe\nJxqun4jm1mP4uDuIZSkCg1UvH8YDX5kEB8eliQ+W7WzHA1+ZlHPQsNa6x2AW84ORBBZtF659u3kZ\nGoy4L8WSLxxJ/vS609dyBuPSNOL+kn+n4vYd352NtuU3K9ZBvW4nVvyyHb3B6MD3xTJaMGyGUf2n\nkxAyDsC9SMZzjVi0Rv1lPhc+ON2Lda914J+//ldSxdZLgUhaPS55LBSgr+4z6tJQCyQsdnLoDUWx\ntKU9LeO7Vg0w0aUY46mURqqyokS1c/YJo3mtv8mrL5tFLgHJViYSNSufYrZBxYpnI5ZQ5LQMCpW1\nQ7H0Z0bt+V03rxoA0N0XQWdXAA/fUolHdh3GmFIPfrP0Jsnd6/M4DLl7GYVLobhRjT6FP0Iy6Pgd\nSukHhJDJAE5k2GdYotUJPt1UI6VLAiCJIrxuB7yyjOjiGpC8qrFaR2fULZbagXldDslgBITgYdH4\nqNUKS60B1rL/EzTMnohyn0cySFpZMgLhZBkXuyfCtVJVZ1YWi2wyGGgOnrwu9AT0nxm153fVy4ex\n8d4ZiCUoNuztwP/8ph9jR3mw4o6qlOS9/kEHTjPsi13j/dQw5CqklO6ilFZTSv9O+P0kpXSetU2z\nJ1qdoM/jlNw1rx65gObWY+gNRuFzKxPj+txONM6+OqOqyYj0OxsZ9J8/78fKuio0tx5D1Zo9aG49\nhpV1Vfjz5/2K89ZdNw7LWtoVUng1daFYxXnj62oKQnuptKxUFpqZT1GaTYoeOQJVtZ/es5HpmdF6\nfsd+oQjHzn8mpfNafvtUrHr5cMqx2vMe+8WwDrvG+6mhOyQmhHyfUvozIZYrzcE9Eisga7mGAuF4\nWgkSrRFzscuBXyyarbpQL59BZZolZHKBhaIJqU7XuCuKcaYnpAhKfmRXcqQtR3QLPvFmJ7Y0+rG0\npR2vHrmAyjE+bF2QrNXVH02g2M3h5KWkcvDK0cV4csEslHicCMd404QPZmF1bj8z8ykaUSnqDZ4y\nPjMaz++ZnhBurByDGyaX48m3OrHxm37bxn4xrMHO8X6pZJpx/VH4eQDKOC7x34jD63Jgc0oG+HXz\nqvH8u6fQH+d1gymlGZJMJBCMqM+gTlxUD/4NRROSOCTTg1bs5CSBhVZQ8tgvFCmuJRiJSy7PaJzH\nY3Ono2PtHNRdNw7//OujUhmWSJxXzOAe3vEh/nw5DI6DrYwWUFhZ5jVHvdEEQtE4eoIRzQBv8d6l\nbpfPLJNGPP353bTvOEqKnNi2sBYbv+k3dCzG8KKQgrMNyeELDavl8AmeR2dXUForeuLNTkOJczPJ\nllPjp1bembrGkFzH6A3F0LL/EzR9+Ro8LAQ7Zzqe/O/N9dNQt+ltpVxeIeiISRWOV9apJ9INRROq\ncmoj+Qjtgh0XovXi8c72hrB69xGMKfXoPhuZ1ihC0Ti6LkcwocwrPb/dfZE0+XyhrHeYhR2fh6HE\nBvfc8EmMVkD+P0h3FX6O5EzsKUpp2HjbCp/+GK8aVByMxHWDivVmSKkuIFG80Vw/DVPGlkjHDMUS\naNn/Ce6ZeRW2//60bvVbrfNVVpQMrEXJ3Hpip1XmdUnxPMFIHM8urEVRysusVe3ZSD5CO2CDl1QV\nLVdeZ1dAcuOKRq25fhoqK0rQHx2ISzMi8ChyOuDzOLHgmf2arlOry13YzUjY9XkYSgqpxInRAOTN\nAMYAaBE2fRPAnwEUAxhFKb3PshbmgNUzLvlDLi9b0heOw+d24Nyn/RjtdaVl/9aaAT02dzp8Hid8\nHge+83yGQFJKceJiQDKcYmaLyooShKJx+GQxQrpByYDU2aUG6BopfxIIxwt6xmXXLOFacvUNezuw\n5NZK1QFTLm3Op+Gwo5Gw6/MwwjA9c8bblNKb1bYRQo5RSqfl0EjLGIrMGWJnn1qvalODHx9+0ovp\nV12BMp8bRU6HbrkRsVPq7otgW1Mt+oU1Dq0XOhCJo9jlUM3Gkeqq5Plk0LFaxotv3zRZKofSF46h\nLxJXuATFdolpnVJf4FA0PqiaW2rf51B2pIPJVGE18u9CXhKnfsZ4qQaafMBkZiaQocCORsLOz8MI\nwlxXIYAxhJCJlNIzAEAImQjgi8Lfolk2bljAcQQ8hRQnBSRVfct3tmPrghq88PtT+O5Nk9NGlpsb\n/Xh2YS08Lgc6uwKScXAK7jev26E7VS92ctLCuZHYqRK3E9uaauH1OPBfn/bjVx+eQ+PsqxUpoD4N\nxbB695G02J7m+mloPXReVVlU5HJgQ1uH5K7q7ApgQ1sHNn7Tn/V3mUjw6ElJKWX1CNyswGErEFWK\nPE/h8zilkjjdfRGUepx4dmEtglHlgCnfM5ZsMEO9ZvZAx87PAyMdoymfvgfgHULIm0Lewt8BeIQQ\n4gPwglWNsztaL2BJkRN1140TDJtSIbaspR3RBI8Fz+xH3aa3pbUs8SXRK/PA8xS9oRje7ezGpgZ/\nWlxVsYuT4n5Ed8x3XjgA/4/24lvb9qPIxeG7N09WdHBetwMTyryaa2HytskJRRO4eDmCuk1v49of\nvIq6TW/j4uVI1gqkZMHKRFpKqWziR3IpB2KnLOHy9oeicQTCwv9lGTFENWRpkQs8BgZMdo+3UWOw\n6rXBZNLXwk7PAyMzhoYSlNJXCSFTAPwlktO5P8kEGZusapzdybSQToh6OqTSIpeKqCJz2Q+5VLp+\nxnhpttMXjiHO8/jeS4dw8XJEyFHoUInxase2hbUpCrMELvVFNK9D6wU2KzYqFEsYij/SItf1ErMW\nonMZ+WtVq9ZTccrTZxVSvI0ag312rEjhVUjCBIbBGRchxAvgEQB/TyltBzCBEPK3lrasANCK6Wo7\negHBSByhiHYtpg17k262jrVzJHFGppckVXVYt+ltVK3Zg9IiF/7hf7fj4VsqpZdYU/XnTjdAo70u\nRWJgcQZXWeHTjHkyKzbK63ZoFqw0MgIfTLT/YIoYArmN/NP22X4AfZE4xpR6pByBma6lkOJt1Bjs\ns2OV4R7s88AYOoy6Cp9Dci3rBuH3cwDWWtKiAsMrZMFo/+Gd2DA/KXxo+vI14AhQ7ObSDNvmRj9K\nihzo7ovg61t+hwXP7IfP40CRM/cii51dAYVr74PTvZpGM7Vz4ziC0iIXynxubGsSOpKmWnzR54GD\n43RfYDNe9FA0gbajF1RTShkZgedz9pGL0VTb55FdhyVlqNHBRqG7tQbz7BS64WYMHqPz6msppd8k\nhDQCAKW0nxB9qQ0hpAjA2wA8wnn+nVL6L4SQSQB2AigD8CGA+yilUUKIB8B2ADUAegB8k1J6WjjW\nagDfAZAAsJRS2pbldZqOuovKj8U3T0ZfJI6Hd7Rj7CgPVt31l4r0Th4Hh0iClwQT2SjC1FwsovpP\nNGBA8iXmOBh2x3AcUSgBh1LO7nU50Dj7arTs/0RyfQYjybACI99JPhfVczGaerF1WsmMU69lpLu1\nrE7hxbA/RuXwvwfwNQDvUkpnEUKuBdBCKb1eZx8CwEcpDRBCXADeAbAMwAoAuymlOwkhWwEcopQ+\nSQj5OwDVlNKHCCENAP67YCz/Gsn4sesBjAewD8BUSqnm8Goo5PBakt6nm2qwePtBzewGg1V+yYsS\nnukJYdO+47h4OYL186uxoa1DWuMq97kBGCscmW8GoxDLZ0yQkeKdqW3Qi+XbtO+49hqXDe9bPrFb\nADPDFMyL4xIM0H1Iznj+GsBeADcCuJ9S+pahkyTXyN4B8DCA3wD4C0ppnBByA4BmSmkdIaRN+P97\nhBAnkgHOYwD8EwBQSh8TjiV9Tut8QxLHpRP3MfXRPfjN0ptMCxZVPX/KAj/HJSXqI/ElzlcnpmY0\n1QYQmephbW70Y5THCbfLwSoPMwwzDI23eXFclFJKCFkG4E4AfyMcfBml9FLGVhDiQDIZbyWAJwB8\nDOAzSmlc+Mg5AFcK/78SwFnhnHFCyOcAyoXtf5AdVr5P3tByUYkxVnrrFWKC3ME8bIqM5DLX3kiM\nOTEzO3u255W77M70hPCz1zqkEAc1pRvHEZR5XXjqvmRKrc6uAHbuP4PG2Vej3Kks1DgS7yXDGHbM\nPjKUGH0z/gBgMqX0N9kcXHDn+QkhVwD4FYC/UvuY8FPt26Y62xUQQhYDWAwAEydOzKaZhpGPcECB\nrQtmKbJgiH72LY0zcbY3pFn+JLXicK4P2zAccdkete+8xOMETylu3/hbxQxca72rP87jwRcPKp6N\n9072jpj0Quy5HTxWVvUuBIyqCm8F8B4h5GNCyGFCyBFCyGGjJ6GUfgbgLSRnbFcIrkAAuAqAWAr4\nHIAJACD8/QsAeuXbVfaRn+NpSmktpbR2zJgxRptmGDUZczTB49n7k0q8p5tqUOZzoT/Oo8zrQsUo\nT1r5CLH4ohmBo1YEYeqdK9sA3+GC4trDcfSFY1j0wgGs+GU7LvVFksUew3GEY8aUbjxPAQrs+O5s\ntC2/WVFiplDisHIluT6bLM0yFM/tcKbQY/kGi1HTPCfbAxNCxgCIUUo/I4QUA7gdwDoAbwL/r73z\nD4+qPPP+55mZzCSTgBIEFkWKNkhbBIIBbbetrVRF3V20UrrhrUJ/ad2lC1ys1nqV7aa2rqW6vMJb\n3lrYUot2obW6NrurIlb6w14WAQ2/6gIpIlJ4+ZG0SjLJTGbmef8450xmJnPmV2YyczL357pyJTk5\nOed55syc+zz3/b3vm09hKAsXAz83/6XV/P0V8+8vmW7KVuDflVKrMcQZk4FXcx3PYEn9hNPGhkWz\nbNulV3sSyzfVVLlY+1J7wnHzfbMN1RNXJbsk7GJYc6eOY877xg1IILdbgac73qr50wE4cy44rMsL\nWXPvDoYHlBerpJVCoaj0ElVZrbi01m+l+srwb+OB7ebKbCewTWv9X8C9wAqlVDtGDOsH5v4/AEab\n21fQL8o4APwU+D3wPLAknaKwWNg+4fjctrk8ybkqPX3RguWfZHriKtQqyUntvAuNXc7VLTMvirW1\nv2naeFrmTaW+1ofLpWIr8FRJtamOd+9Te1lx3WXDXs5tzd2uvFilrBQKxXDI5RsMRTPNWuu9wMwU\n249gSNuTt/cCC2yO9QDwQKHHmAu2TzjBSNYfxELmn6R74vJXuXNeJdnFHSrZJWE395E1Vew82mnb\n7LPa40751Gt3vImj/aDLr3N0IbHmnm2umpCeSs/lyzbGVfHYPeG4XGQd2wj0RaivNZo0DraFfLon\nrmxWSXaxm+S4QyVXKbCb+7s9fcyeVM+SaxpiK69sVqPpXsvhfsOx5r5ue/uAKimVtFIoJJVcoiqr\nBGSnUaw8rvhVSbcpaQ/2RQmb7SfaT3exdf9JQ9ocZ5CKFSeyWyWlyzGzYm0d3YltRB5aMD1Bym3l\nnOWzehsu2FVHGeHzcC4Ypr7WZ9sXDT0w+RuQ1zKp+arTeokJRaWwjSSdRjETkJM/gMmVDtYsbGS0\n34vb3b+YLWTjvHhjZZesane+79/exJce303LvKkpk6Nb5k1l7iO/BhKb6A1n+XKmudk+HEQ13aEw\nd27aPfC6pmkICs6oZlIMhvP7SCgIWb8ZxFWYI/FuuFTVvJdtbqMnHE34n0LFieIl8Ct+0kZnd4g7\nNg1076VyI8ZL8e2So60ivZDoDnSSSyIXUUo2KQV2c3e5FLVej637OJWrtjsURmvtmNey0DjpfSSU\nNxINzZF4I5RtNe9CSVfjjebW5VfHjCYMlBUnB27jpfh2AfK3OwN4XCq2crQaUzrlyThXl+xgUwrs\nAuTY9GHzez10dAUZXZu4IrfGXm6rkXIckyCArLhyJj7Anq6PVPyTv0sxIBk5n4B0LkbT5VKGUCPU\nf+Oxxpo6QN7I2JE+Dj1wI9+/vYktO44xZeXzGRNEI5Eo53r7iGrNud4+IpFoyv2Gglyl+4VYCada\nRaRrP7NsS9uA8QxlMnm2lOOYBMFCDFeOxLvhvvfL9gENGNcunEmNx5Xwof/CY7vwul39/a7yVBNm\nazRh4I3nhy+/yZpmw3g+u+8kz7x+nO/fHq9u9OH3egiEInzp8d2sfvFw7Oa/ecdbdIcGut8ikSgd\n3SHu3LSby772HHdu2k1Hdygn42Xn2ssnDy1XQ1QsxWQqV+2q+dNZt72dnUc7qU1azZVjrlw5jkkQ\nLESckQfRqKY33C+MsBSGPX3RmBy9UGKM5POmE4bECwC6Q2H8XkPpuG674SK878b3Me686v5q8p6B\nrp9kRaJdrtLoWq+tOGH9oiZGVFflNJ94cUt9jZc/9fTlrL7LVQRTzKoglngj/hq07jmR8vVJpwJ1\npW97VzTKcUzCsKdw1eGF1HQHU6vGipm0mxxT6e2L9DekTCe5bm4kFNGs+OmeAYmyySTH4+JzlSAx\nDlTr86ScZ/KKwo5UMaZlm9tYv6gpr9hTrgnexUzitFy1HV1BWloPsPNopyGSaR7Y2bkcy/eU45gE\nwUJchXmQyY1SzKTd+JiK3+uhrjopvpJibN2hCHc/uScrt0+ymytdLM1q4ZI8z+5gmGywM/B2BjGT\n4Y83RNm6ZIuldItGNT3hKBeM8LF+URMHv3UD6xc1pRRmlGP5nnIckyBYyKNTHmRaUeXy5J9NXlau\nYxs30sfW5VfH2sFPGFWTtSFIXoVYxsmutNSa5kaWbelPZE61orDD7qneqkyRz9N+tr25iqmYy9UF\nWY7le8pxTIJgITGuPMgmlpLNjTHbmFUuN4tAKExndygxKbq5kS2vHmP1i4dtx2tHpptwJBIl0Beh\n1ucxYn1V7gErinTHPtsdTKjgsWr+dA6c+DNNk+oTtheywkSxK94XMuFcECoIqZxRbHFGIW588Te4\nrcuvTlnNItebXVdvmDs22VfNyGe8xVydRCJRukORASWz6v1Gb7NinLPYhkWEDYKQFyLOKCaFcqPk\nk8yc8Zi+1G7MumpPv5DDVBVmS7but3xwu13U+YzY3ORxdVw06tLYa1lnrtwKfc5iiGeS61iKsEEQ\nioeIM4YAu5ykXPKyssVWGBKM0NMX4TMbdtB4/wt84bHySSjNRiBRyC7MhRbPpMuZS87vK7dO0pXc\n3VpwLuIqzINcXIXp9gUKHuOyO1+tz80XHnNm3KXQMalCHy+V63HFtZP53EcuodZnJHXXeFx0BnLP\nTSsmldzdWihLJMZVanFGbF+bmJO1bypVYY3XRcCM++TqhkxOjrbaRqAoi7hLPvGyYsSkChm3yyam\nVY6CjXIck1DRSHX4YpJtjCQa1bYxp/iagvF5WX6vm87uvlgZpVxqxFlP0F94bBeN97/AZzbsoCfL\n3LJiuIySj2mViMq1/l0xYlLJ7klgwFizfT2ycT0WYg6FvkaV3N1acDZiuPLA7kbVnXQzCfRFONYR\nyKoQr3UjGkyNuHT/my6htBgFVVMdszuU39yK3YU5eawbf3Mkp9cjm2Tdwc6hGNeokrtbC85GDFce\n2BVR/eHLbybcTPxeN4+8eChlJfbkQrzWjSjdU3CmJ+10/5uuqoRl8MaM8PHfSz/KE1+8iu5gmN5w\n/jewZCM6ZoQPl1I88cWr2Lr8aubNuDBhfOkodhWH5LHOvXw8y7a0ZW1gs6nYMdg5FKPorVTHEJyK\nOLLzwOVS1PurWL+oKVZE9eEXjLb3rxzpjMUIAqEIp94N8vALB2mZN5WGsXW83Rmg1uehJxxNWY9v\n/aKmlFLqYx0Brl39q7QB9Ez15exk7Va1jRXXJRfTbUxZiDcb4o2oVaj3jk27EhKNAc6cC2aUiRe7\nikOywc8nNSFTysBg51Asd6kTqmNIXzAhGVlx5YmRHOthysrnmPvIr2ndcwJIXfrpzLkgf7X2N6x7\n6TD1tV6qq9wpb0TjRvpwKzWgd9dDC6azetuhnOsMZvsEHQhFWH7tZbFiuv3nGdg7Klvi3VDxhXqt\nY9/71F5WXHdZ1k/4xeyem+wyK1RqQjKDmUOx3Hrl3pW4UC5Skf0PL2TFlSd+r5vDp1J3Eo5f4VhP\ntDVVhmvQql7x4oqPJfzvvBkXcvfcKXzhR7sYN9LHg7dOY+JoP4FgmJXP7I8ZRug3jsndifN9gvZX\nuZk42p/xiT6XJ9/4eo12K5iJo/2gKfnNMrm25Nb9JwfUYCy1Cy3XyvfDhcF2qQaR/Q9HxHDlSSAU\nYev+k6yaPz3BvbZmYWKRWeuJtisYZtnmttgHcPW2Qzy0YHosb2vFdZdxz5P97UOeaevv3XTq3WDC\nuWdPqufwqS5aWg8M+ADmU+XC5VJ09aav9jCYwrE9Zd4iI5XBr/G4ysqF5hS3Xr7YPRQVwkVaCOMn\nlBfiKswTf5WbhVe9h2deP07LvKkc/JbR8n60P/WNPPkD2LrnBA9vPRjrimy34qn1eQZUYVjT3Mgr\nfzibV4DezmXi96Z3M+YjDrCMqHHs5EoS2VWRHyoXT7LLzChFVV4utHJ36+VLOndgIVykIvsffsjj\nRp5YT8Cf/+ilsafEdDeTVMKJU+8G+eOfe2hpPWAryugOhtny6rGYuKP9dBdbXj3G3MvHA7l9ADOt\nmtI90Q/2w+91u3jw1mlcXO/n7c4A3iwqyIuLpzJItyIqhItUmmIOP+SqDYJc3HKpPoCr5k/n4RcO\nxgxAyg+o183a1hQ1QQAAIABJREFUl9oTWpJ4XIolcyYDxgewqzec1RN4qhvE5h1v9ZcmMvO94pNy\nY/87iA9/oC/CXU+8llWFhoRitaHwsHfxiGIuQxqHGryLtFLjg8OZ4fHpLwMy3YCsFU0qCf2HLh1N\nT1805Qc00JfaYLSf7mLFtZNZ/JeXUOfz0B0KU+tNb7ySbxDzZlzILTMncOemzO1OBvPhz6XSSPwK\n6+C3bhzWLh5ZURrkm8aRLcM9PliJSIwrDwzfe5iuXiP2EgiG6egOZpTsulyKWq+Hzu4QLa0HeHbf\nyYRYUqoYRiqJ+yPNjbz3glr+9sqJ3PXEbi5b+Rx3btqdUSacHC9IJVO3i1tlk2SbTRV8i1RxiuQ4\nWrFk6eVCMZKKnchQJEIP1/hgpSJFdnMkGtWc6+3jXDAcUwS+uOJj3Pf0vqyLlebqHkru9fTDl99k\n7uXjUzaeXL+oyXbllWpFM2VlYQrvZlsFP93KIrlYrZW4nJgUPXxWJNJwsh9xmQpII8niEeiL8KdA\nX4Khurg+cw5UPLm6PuL3r/V6jA7BtV6bc3ro6A6lvLknu0wK2fAwk+Q4G1dNssuodc8JGsbUGsY4\nj0r55Y6IBvopZrNSYfghrsIc8XvdAwxVJpdWJBLlXG8fUW2s1sLh7CuPJ2MZn0AonPKc7ae7MtbV\ns1wmtV5PwVw0meJY2bhqUrmMFl71HmMFmYWLx2nVEaRWoCDkhzza5EggFOHsuWDCk/K67e0JycTx\nwgWrlUd8FYY1zY3sfquTf9jclpf7y4qVZVIpZnOcQgWtC7F6GMx4nCJ0SHCJ9UWo91eJaEAQckRi\nXDmSKsY1e1I9j952BW6Xy2jeGHcDOtdr9Nay6477bk8fr/zhLB+9bOyAxpKZbmTRqKY7FI6pFNdt\nb4+pFIdaMl5qw+GEpoilfo0EocyRDsjFNFy94QhoiOrELsMpBRFZCA7WNDdSX+vFpVTON7ZyuhmW\nMsDuBKGDE4yrIJQQ6YBcDOI7DE//xgvcsWkXHV0hW6MFxAQQFqkk6Mu2tNHTF8m7rFImmfpQUUrJ\nsROaIkrpIUEoDGK4ciAfw+KvcifUGkzb60mTV6NFyVHJXuhQSgGHE4yrIDgB8U/kgPXEPG/GhSy5\npiFWO7Cmyt7+u90u6v3emKS7Oxhm6ZyGhBJOS+c0GAKOzW0JQgvIrtGikJ2wo9RuVSk9JAiFQWJc\nOdAVDLPxN0e4ZeaEAa1MLqj1ZZX0a8W0trx6jLUvtTN7Uj3fv72JLz2+e0Ds48Fbp+H3uW2PXQgq\nKfGzHGJMlfR6C0KOiDijGIbLcjOlMjLWzS/5xoSGOzYNvFlaK7Cu3jB11R5bYYHWGrerOB7dUq9A\nhhonCDgEoYIpvThDKXWxUmq7UuoNpdQBpdQyc3u9UmqbUuqw+X2UuV0ppdYqpdqVUnuVUlfEHWux\nuf9hpdTiYo05Ey6Xoq7aYxujStVXyO+zC8h7WPGTNjq7QwSCqWMfxzoC9PRFizafSquVJzEmQRge\nFFOcEQb+UWv9fuCDwBKl1AeArwK/0FpPBn5h/g5wIzDZ/LoT+B4Yhg74Z+Aq4Ergny1jVwrS3fxS\nGYJjHYGU+5/4cw8rrpvCfU/vY+Uz+3howfQEYcFDC6Yzyl9V1PhHpancpFKFIAwPiubY11qfBE6a\nP59TSr0BXATcDHzc3O1HwC+Be83tm7Thu/ydUup8pdR4c99tWutOAKXUNuAGYHOxxp6OtAF2RcwQ\nWAKOi+v9fP/2Jh777ZuxmNaq+dNxKbj7Z3tjLsSohgdvncbE0X4CwQguF1R7ihv/qLRaedLeQhCG\nB0Nyd1JKTQJmAjuAcaZRQ2t9Uik11tztIuDtuH87bm6z214S0t38usycrTEjfAOTjBc2smROA4FQ\nhB++/CZL5kxOWO207jnBs/tOcuiBG6mrHhqjUYkqNynmKgjOp+ifXKVUHfAUsFxr/a6yD4Kn+oNO\nsz35PHdiuBiZOHFifoPNErubn2UIuoPhWJIxGJXSl21u48FbpzHKX8XCqybydmeg4KudXBVrsgIR\nBMGJFDUBWSlVhWG0fqy1ftrcfMp0AWJ+P21uPw5cHPfvE4ATabYnoLVer7WepbWeNWbMmMJOJEss\nQzBxdOo2JxfX+7nrideo9XkYO9LH2oWNCfGWNQsbqaly5ZUYm0oYkqmxpDXmSk9eFgTBWRRTVaiA\nHwBvaK1Xx/2pFbCUgYuBn8dtX2SqCz8IvGO6FLcC1yulRpmijOvNbWWJy6VsBRztp7vYebST6io3\n1R43o2t9sVJN37+9iS07jjFl5fNZG514Kk0hKAhC5VLMFdeHgduBOUqpNvPrJuDbwHVKqcPAdebv\nAM8CR4B2YAPw9wCmKOObwE7z635LqFFq7MoHpVKvrZo/nXXbDXHGuz19dHQHY/t29Rq5YatfPJy3\n0ak0haAgCJVLMVWFL2OfUPaJFPtrYInNsTYCGws3usGTKXl3dK2XDYua8Ps8HOsIsHrbQc6cC7K2\nuRGPSzGi2kd3KIzbpaj12eeGZUulKQQFQahcpMhujlirrEAovWvO5VKgFN/9xWGC4Sj/+ulGHl4w\nnb6o5o5Nu5my8jnu3LSb7mCY//dOT0rXYldv9rEuyVESBKFSEMOVA/ECiJosXHP+KjfNV02kpfUA\nU1Y+R19E848/3ZNk7NpwKcWq+YkJyI80N/LYb9/M2l1YyPYmpaygPlRUwhwFYbgiPqQciBdAtJ/u\nSuuas6Tp9X4v/7Z4FtpsOpnK2I07r5rv/uIwLfOm0jC2jq7eMP/x+nHWvtTOlz8xOevxFSJHqRLq\nF1bCHAVhOCMrrhyIF0Cs294+YJW0dmEjLgWRSJSO7hAbf3OEk+/0UuN1c7YryB//lNolGAiG+dxH\nLom1Sfmnn++n5T9/z+xJ9XQHw0M6x0pQJ1bCHAVhOCMrriyJRjXdoTAHv3Uj7ae7WLe9nYdfOMjq\nT89g3HnVHOsI8MB/v8Gpd4OsWdjI7qOd3DJzAl/5WX/1jLXNjaz+2xms+Mme2LaHFkwnHNXU+Tyc\n7QrS0nqAnUc7Y0rEoVYFVoI6sRLmKAjDGTFcWZDKtbRq/nSeef04tT4Pn9mwI8FluGxzG9+77Qr+\n7onXEqpnLN3SxoZFTTx46zQurvfTfrqL7zxvqA1b5k1l6/6TPHpbE3XVHtpPd/HM68f5/Ecvpc6X\n/8I412oalaBOrIQ5CsJwRj6lWRDvWgLDCN371N5YT61xI31sXX51zNX3vV+2M7KmKvVTvc/Dtfdv\nG9ATqmFsHXNfPMwrRzppmTeVltYDg1YF5hPLqYT6hZUwR0EYzkgjySxI14BQa01HV4hlW9oYN9LH\nvTe8j3HnVdMdDHPnpoENJx+9vYk/dYdiK65129tjK665j/w6dtxC1A3Mt+Nv/CqtOxjG73XT0xct\nuzqG2awm7fYpRCdi6WYsCAUl6w+PrLiywM61dKwjQDAcpaX1AHOnjuOTV0ygzufh8Kkujpw5x5rm\nRpZtaYt7qm9Ea819T+9LiHH53C6++d9vxI4br0zsMg1HIBShxuOiJxzN+kaZbyzH5VL4q9x0dJWv\n8i6b1WSmfQajwBRloiCUDlEVZkGq5N6HFkxn9bZDNIytY9xIHzdOG89djxuJxS2tB5h64fnsfquT\n7912BYceuJEHb52G3+uJxb0sNds9T+4lHNU8u+9kQtJwctHcjb85knMR3cF0/C135V024yvmHMr9\n9RGE4YwYriwYkNy7aBYPbz1I654TtJ/uYvm1l7F8S1vCTezep/Zy6ZgRjKiuQmu4dvWvbJOWx51X\nPSBpOPnGOPfy8SxLOkemG+VgqmmUu/Ium/EVcw7l/voIwnBGXIVZYrmWolGNRnPqXaNI7rrt7TzS\n3JjyJtYwto7T7/bybm84lpOVTs2W0Nsr6cbYMLYu5xvlYPptBUIRls5pYO7l42Oik637T5aN8i4b\nZWAx1YOiTBSE0iErrhyw3Hc/fPnNWPLxs/tOcuqd3tS1BoNharxujpw5x6r502k/bcS9EnpwNTdS\n4xl4GZLdfFaljuRzZHL75dtvq8bjovnK/nJVLa0HaL5yYsqxloJsVpPFrN9YzGNLOSpBSI+oCnOg\nqzfMHZsMlV7L33yAT86cwIhqD4G+CO/29PGPP+1PLH6kuZHn9p1k64FTrF/UFFvx/PDlNwesYoxc\nrcSn9OTg/9I5DTRfOTFJ7FE8MUC+isRUFEt9NxhVYSEoxrFF9CFUMFm/wcVwZUE0qo0bk8/N4VOG\nhH3JNQ20tB5gzAgf37zlcup8bnpCUWq87pjMvXXPiZi83aVUWlm9Sw28Zsk3xlxVhYOac45jtT2O\n3IhzopAPDILgMLK+IZSH36eMsW68G18+wuFTXTSMreObN1/Oey+oZdxIH3dfP8VUEz7P2a4gt/3b\nDuY+8mta95wAYOmcBrpNt093MMzSOQ0Jx0/n7kt287ndLuPmZdkSRdFcSYNRJCYcR9R3OSGiD0HI\njBiuDAT6Imze8Ra3zJwQi/fc9cRuOntC3HfT+7n3qb2xm/LqbYd4aEF/4d0V106m+cqJ3LlpN5d9\nzei/1XzlRFZcOznvuEiyTD4bWXw+FCqGk8uNWGI7hXtgEIThjLgKMxCJRjnXG06oOwim+2bRLBrv\nfyHBnXZL44X8yyenYW2yYmLx/2eVisrH3TeUrqRCxHCyHa+4FA3kdRAqGHEVFgLrJjKi2q7uoHvA\n0/HcqeOMm/Um+2aTtXmo/CyG0pWUryIxnmxWblbl/fpaLy3zpnLTtPEV61IsZENQQRiuSLQ3DYG+\nCMs2t9EybyqzJ9UzZoSPJdc00DC2jrc7A/SGIjy8YAZ3P9mvJvzI5DGxGoWZmk3mNSaH5Q9lyiWz\nq7wP8Oy+kxUZ2ylEQ1BBGM7IpyIN1upm3fZ21jY3EoxEuefJ/v5aaxY2MrLGw/dvN1qRBIKRhC7H\nVrPJe5/am+D2yTZOlMpVV6zK5sWUjae7EdtV3m+ZN5Uz54IEghHqquVtKghCP3JHSINV6aJ1zwnu\nmTuFr/xsb8INdtnmNtYvauLp146z9cApNiyelVAdw1IWPnjrNCaO9udkENLFOvKthpHPueJXRsUw\nbHauz4axdTy0YDqRaDQm0pBK7IIggMS40uL3umMVMi48v8Y2XtXyn7+PxZn8Ve6E6hhnzgXxe91o\ns8txtjfbdDLyQsSesj0XFFfJaKeiO9fbx3eeP8hdT7xGbzgyJEpKQRCcgRiuNPSEojzz+nG+86np\n9NjcYLt6w7GfA6EISilGVntYv6iJQw/cyPpFTYyu9eJ25/ZSpxNhFFoynknwUcxcrFTijVXzp/P1\nnx+gdc8Jdh7tJBpFcsEEQYghhsuGaFQTiUb51KyL+crP9vJWRxdrFjYOaG0SjkZZce1kHr3tClxA\nR3eQzz22i5n3b+MzG3bQ2xdF5VBpwsJuJdLVGy74yiNT7lChlIyp8rSSVXQP3jqNh184GHOzzp5U\nnxA3HMz5BUEYHojhsiHQF+GuJ15Da82Dt07jPaPr0NqIVx381o20zJvKd54/yJIfv87nP3IpSine\n6elj6ebcWo/YkWolsmZhI4/99s2CrzwySdYLkRSbzt0YE29oqPV5OHMumDCOQFCScgVB6EcSkG2w\navX9zzdv4A9nupk8zjBcU1YOrN938Fs3ctu/7eDHd1xVkPp+sTEk1yqscjFl5fMFO366c2WSrOea\nFJtLInLyOABJyhWE4U/WH2ZRFdpg9aPq6A7R0nqAlnlT8XlcKXOo2k938cqRDo51BFLne/VF8Htz\nf6mTZeRdGfp5DYZ0kvXB9PWyyNbdaDeOQispBUFwLuIqtMFf5eazH74k1tl43fZ2ar3uhFqElpBg\n3fZ2AB558RCP3nYFX7lhSqyu4X1P7zOK7OYYh0oVDypmD6hMDFbJOFh3Y6GVlIIgOBdxFaYhubXH\nvBkXcu8NUzivxovf5+ZYR4DV2w7FhAQfunQ0j97exF2P7x5ULcF0rjlwZj6T1OATBCEDUquwEFjJ\nxGAYrSXXNPAX59UQjkZ5/JWjeNwqQUiwZmEjI6o9g1bADWUO11AhNfgEQSgUEuNKg9/r5uEFM3hq\n99vcMnNCUummRup8HlZ/egZjR1bzdmcAn9sVU8ANJg6Vj/y8mCWbCoXU4BMEoRDI3SMNwXAUX5Vi\n0V9OSmhrYqyA2njw1ml8/OFfxvZfce1kPveRS/jxHVdxrCPAIy8e4tS7wbRxqFQGJ9A30PhZDSlT\ntUMRN5wgCJWEuArTEI3CP/x7m21bk4vr/bHf5824kFtmTog1jbzv6X187a/ezw8+a+8Ss8ttqvG4\nEkQYyQ0pkxOPC1HZQpo4CoLgFMRwpcGq2GC1J4ln9qR63u4MxH5fck1DQjdka1UW1diueuwMTk84\nmhAP+txHLmHZFvvE5sFWthiqrsqCIAiFQAyXDdGopjcUoe3r19MwtjahcK4hQ29klL8qtq1hbF3O\nxiOdwYkXYdT60gs+Bis1L2YtQkEQhEIjMa4URKOac719nAuGY/23ls5p4NHbmxhh9d0yjYaVFNud\nR3Jwtk0hM+2XrkdXNqKNoeyqLAiCMFgkjysFXcEwZ88Fue/pfQPzsRbNStnYMB+BRLb/k2+/LMiu\nVFK25ZgEQRCKSNZKMjFcKYhqbVuXMF1dwHwk6dn+Tz7HzqU+oKgSBUEoMVKrcDAEQhHOngumdc/Z\nGZJc85Sy/Z98jp1LfUCpBSgIglMQcUYK/FVuRvmrBtQlXLuwMRY3ykWFVyqpeS6iDadW5BAEofIo\nmqtQKbUR+GvgtNb6cnNbPfATYBJwFPi01vpPyui0uAa4CQgAn9Vav2b+z2JgpXnYb2mtf5Tp3AVp\naxLV9IYjRKOGLD5ekNEdCuP3emg/3cW67e207jlhGxMqpRtOXICCIDiI0se4lFJXA13ApjjD9R2g\nU2v9baXUV4FRWut7lVI3Af+AYbiuAtZora8yDd0uYBaggd1Ak9b6T+nOXagiu8mkMgSr5k/n4RcO\n8uy+kynjX6UWPjihFJQgCALlUGRXa/1roDNp882AtWL6EXBL3PZN2uB3wPlKqfHAXGCb1rrTNFbb\ngBuKNeZMpMp3uvepvSy5poHZk+pTti8ptdRcXICCIAw3hjrGNU5rfRLA/D7W3H4R8HbcfsfNbXbb\nB6CUulMptUsptevMmTMFHzjYG6GGsXU80txITZWbrmCYSCQa+3tynGnejAt5ccXHAKS0kiAIQh6U\nizgj1TJAp9k+cKPW67XWs7TWs8aMGVPQwVnYiR26g2F+8uox3vdPz/Olx3fTEegXasQ3f7yl8UK+\ncsMU7nt635CXVpJahIIgDBeG2nCdMl2AmN9Pm9uPAxfH7TcBOJFme0lI1YF4zcJGan1uPnnFBG6a\nNp5XjnSwbHMbgb5ILL40us7L+kVN/Msnp3HPk8n1DItfWklqEQqCMJwY6jyuVmAx8G3z+8/jtn9Z\nKbUFQ5zxjtb6pFJqK/AvSqlR5n7XA/cN8ZiBfpFDfW0V6xc1UevzcK43zI9++yZrX2pn9qR6Hl4w\nA4Bn952kpsqVIORYOqeBz374Ep744lUJasR84125iC7iY3NAzGBKZQxBEJxI0e5aSqnNwMeBC5RS\nx4F/xjBYP1VKfQE4Biwwd38WQ1HYjiGH/xyA1rpTKfVNYKe53/1a62TBR9GJVxOOG+njGzdfzrGO\nQEJJqFeOdHD3k3tomTeVM+eCBEL9xsJqefKlx3cnqBGB2L65GJBcZe6lFogIgiAUkqIZLq31Qps/\nfSLFvhpYYnOcjcDGAg4tZ+JXLFuXX02dz0OdTcX2yePq+PEdVxEIRhg30gcktjwBYmrEB2+dRq1Z\nJDff8VjHS7eCyraYryAIghOQu1YWxK9YGsbW0X66C5/HldIYHOsIcO3qXzF7Uj0PLZhOVGPb8mTi\naD+k6deVzXjij2e3gkpXPV4QBMFplIuqsKyJVxO2n+5i6/6T1HrdA0pCPbRgOqu3HYoJL+55ci8r\nrrvMthFlIBTJK68q1/5b8bUIDz1wIxsW23dlFgRBKHekOnwWJMe47p47had3H2d+0wTOq/HGSkKt\nfGYfz7T1ix6tavJaG/+/bHNbQUovSSknQRCGIaUv+VRKimG4AqFIzEB5XBA2axh2B8PU+jwcPtVF\nS+sB29JOhS69JKWcBEEYZkhbk0KRdnWjFCOqq+gKhtm6/ySr5k/n3qf2Mm6kj+XXXsbE0X4CQSOf\nK5+2JOko9PEEQRCcgqy4MpBNkVzLuG3e8Rbzmybg9bhYWiC3oCAIQoVQ+iK7w4VsFHyW+OHzH72U\n82q8LN3cNuTVMQRBECoFMVwZyFbBZ7nu/D5J9hUEQSgmEhxJQbzwAQ0bFjVxtivExfV+3u4MMMpf\nFcuBShZuaPSgkn1FdCEIgpAeWXElkVyQduPLRwiEItz39D6mrHyO+57eR8hsW2LsG+SOTWbx2k27\nCIYjrFnYmJDflW2yrxTDFQRByIyIM5JIFmNsXX61rcwdSCnceKS5Eb/XTa3Pk9OqqdTdkgVBEEqI\nyOHzJVmMYVeuyYpZpfrbBXU+lCLWdTjfcyefSxAEQRBX4QCSxRgn/txjK86wE2683RmwLb+Uy7nj\nz5UKaQ4pCEIlIoYrieSOxTVeF//66RlJMatG/FVuc9/GAfUK48Ub+Z47U3xM4mGCIFQqEuNKgaXs\nQ8PGl4+w8MqJdIciMVXh+f4qRlZX4XKpAapClwuqPfkrAbNVFUo8TBCEYYbEuAaDlZMV1Zq5l49n\n6ZY2WwPhcinqqs3SS9VDV8pJ4mGCIFQq4ipMQyAUySjOKBW5xsMEQRCGC2K40lDjcdEdDNsaiFKK\nI3KJhwmCIAwnJMZlgyV+2HW0gyveU8/yLYlFc+v9VXQG+grSEyvfahlSZUMQhGGE9OMarDijOxTG\n7/XQfrqLV/5wlg+99wIaxtYRCIWp9XoI9EUKIo6QppCCIAiAVIfPH6uM052bdjNl5XO0tB7gug/8\nBeu2tzNl5XPUmoKMQokjAn0Rlm5+XarJC4IgZIkYriQCociAtiR3P7mHe+ZOSRA/FEocIepAQRCE\n3BDDlYRdW5KLRtUkiB8KJY4QdaAgCEJuSB5XEoFgJHVbkmAkIe5kNY/csHjWoMQRlgFMjnGJOlAQ\nBCE1Is5IIhAK09kd4p4n98YMyUMLplNf68XvLY6dF3WgIAiCVM7Im2qPmxE+Dw/eOi1W4mmEz0O1\np3groGyrZQiCIAhiuAbgcilGVFfhdrtQCi4Y4ZMVkCAIQhkhhisFsgISBEEoX0RVKAiCIDgKMVyC\nIAiCoxDDJQiCIDgKMVyCIAiCoxDDJQiCIDgKMVyCIAiCoxDDJQiCIDgKMVyCIAiCoxDDJQiCIDgK\nMVyCIAiCoxDDJQiCIDgKMVyCIAiCo3CM4VJK3aCUOqiUaldKfbVY54lGNV3BMFFtfo8Ov35lgiAI\nTsYRpc+VUm5gHXAdcBzYqZRq1Vr/vpDniUY1Hd2hAd2I4zsfC4IgCKXFKSuuK4F2rfURrXUI2ALc\nXOiTBPoiLN38Oq8c6SAc1bxypIOlm18n0Bcp9KkEQRCEPHGK4boIeDvu9+PmtoLi97rZebQzYdvO\no534vcXrfiwIgiDkhlMMVyo/XULwSSl1p1Jql1Jq15kzZ/I6SSAUYfak+oRtsyfVEwjJiksQBKFc\ncIrhOg5cHPf7BOBE/A5a6/Va61la61ljxozJ6yT+KjdrF87kQ5eOxuNSfOjS0axdOBN/lay4BEEQ\nygVHiDOAncBkpdQlwB+BZuB/FfokLpdidK2XDYtn4fe6CYQi+KvcIswQBEEoIxxhuLTWYaXUl4Gt\ngBvYqLU+UIxzuVyKOp/xsljfBUEQhPLBMXdmrfWzwLOlHocgCIJQWpwS4xIEQRAEQAyXIAiC4DDE\ncAmCIAiOQgyXIAiC4CjEcAmCIAiOQgyXIAiC4CjEcAmCIAiOQgyXIAiC4CjEcAmCIAiOQgyXIAiC\n4CjEcAmCIAiOQmmtM+/lMJRSZ4C3BnmYC4CzBRhOKXH6HJw+fpA5lAtOn4PTxw+Z53BWa31DNgca\nloarECildmmtZ5V6HIPB6XNw+vhB5lAuOH0OTh8/FHYO4ioUBEEQHIUYLkEQBMFRiOGyZ32pB1AA\nnD4Hp48fZA7lgtPn4PTxQwHnIDEuQRAEwVHIiksQBEFwFGK4klBK3aCUOqiUaldKfbXU40mHUuqo\nUmqfUqpNKbXL3FavlNqmlDpsfh9lbldKqbXmvPYqpa4o0Zg3KqVOK6X2x23LecxKqcXm/oeVUovL\nYA4tSqk/mteiTSl1U9zf7jPncFApNTdue0nea0qpi5VS25VSbyilDiillpnbHXMd0szBSdehWin1\nqlJqjzmHb5jbL1FK7TBf058opbzmdp/5e7v590mZ5lai8T+mlHoz7ho0mtsL9z7SWsuX+QW4gT8A\nlwJeYA/wgVKPK814jwIXJG37DvBV8+evAqvMn28CngMU8EFgR4nGfDVwBbA/3zED9cAR8/so8+dR\nJZ5DC3B3in0/YL6PfMAl5vvLXcr3GjAeuML8eQRwyBynY65Dmjk46ToooM78uQrYYb6+PwWaze2P\nAn9n/vz3wKPmz83AT9LNrYTjfwz4VIr9C/Y+khVXIlcC7VrrI1rrELAFuLnEY8qVm4EfmT//CLgl\nbvsmbfA74Hyl1PihHpzW+tdAZ9LmXMc8F9imte7UWv8J2AZklbhYCGzmYMfNwBatdVBr/SbQjvE+\nK9l7TWt9Umv9mvnzOeAN4CIcdB3SzMGOcrwOWmvdZf5aZX5pYA7wM3N78nWwrs/PgE8opRT2cyvV\n+O0o2PtIDFciFwFvx/1+nPQfhlKjgReUUruVUnea28ZprU+C8eEGxprby3luuY65XOfyZdM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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11026c668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fc05748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fe7bb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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POjE9UgLgeEFbBoZSg220HULIIADfAnAnAFBK4wDihJBvA7hBOO1ZAK8DWAng2wBaaIqD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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1112960f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vb8V3rzofQK75nl3uC6MHhxfiDX7BLVdXqddETMTUx+UF4YyVe5TGZD5mK2Js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\njJZLaEmIB1MZ8CwvaN1h5eKL91cm8+olFwu3Wde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Ox8BQOs8F6XYMkQrmOohezEU37iDN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\naw/w8s6D7P3u1Tk9b5LyngWZLkjuiyOkp04ble1MRaCb77nMydLK1Fn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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1105423c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TxUEIIZ0AbqKUniWEjAPwFqV0GiHkSfH/rcr3Sf8opfeJr6vepwczWozhgJuTXbZ96RnI\nvStvREvbkaKZbIul/YeRJP7AZ734fmsH68dlTMHVg5MBnAfwDCFkJtIrpBUAxlJKzwKAaLjGiO+/\nAsApxfanxdeMXmcwhjVuVqfI5qKKJXgsv6UaDdeOQ/WYCnR19+Oa0ZGicmuZqSbzqajUU1GuaO1A\nS+N0lRtXWVU+EvJhe3M9wiGmHsyGl5+eH8BsAN+nlLYTQrYA+IHJ+/U+IWryunpjQpYBWAYAkyZN\nsj9aBqPEyKWpohajJovReAqRoB/lfg5N103Cip3q1hvLb6nGpn1HVdsYNWIcLhg9AFSPqVD9Hg75\n8O3t7eoHjqBvWF87K3gpxDgN4DSltF38/VdIG7FzolsQ4s9uxfsnKrafAOCMyesqKKXbKKX1lNL6\n0aNHu3oiDEax4rSpohY9RdyGBTV45t3j6IkmMJAUsGJnZuuNu79ytSvqPy+k+16lAzhVUWq7LBtV\nlS+mNIZixDOTTin9b0LIKULINEppJ4CvAfhP8d8SAP8o/vw3cZM2AH9LCNmJtBDjC9F9uBfATySV\nIYDbADzs1bgZjOGItGrb1lyHcDAtHtj4WifaDp7B+8d68fOlc3RXDxVl/pxXeoZlkcJB+HzOnqs9\nKxFlYb96btstTbXY+cFJ+DkiC1Yeefl3qn3/9rNelAc4Ft/Kgtfr0O8D+LmoHDwG4DtIr+5+SQi5\nF8BJAAvF976CtHKwC0BMfC8opb2EkH8A8FvxfT+mlKq/PQwGI2c4jiAS8mcILn77WS9icX33odIV\n6NStZRQDenJxHSpCxJm7M8mjtf0EWhqnyzG41vYTOXcEtlL1Q3bbijGqkz0xvPrxWTTWXoG//doU\nxOI8OM64qrydqiLDEU+vAqW0A2mpupav6byXAnjAYD9PA3ja3dExGAwtRrEtjstso+FWSxKjGFAk\n5Ecs6Sw+Vh7gMH/WBFWrkA0LalAesL5y01McWs2p4jiCijI/BIHi8soQFl9/VTovjEJ+Xe96RkJ+\nz8QtQ6VUFDPdDAZDxkiRWOb3oczvy8kVaDRpGhnKru5+TBlbYbJHY2IJXu5YDEBuZb+tuQ6VZdkN\nl5EbsDzgy7riVKJVLUrxqnDQh/KAD0/dXa/KaTO6FrE4j4oy59P1UJLVsyrvDAZDhRdP5NmSfy9E\n46ok5Q0LarD7o9OO3Xm5Jl4b5a09dXc9onHe0eRvxXCk3xPHcsW1eHRhDSpDfgT8nOOk7RJJYGat\nSRiMUmSouHGUZJs09SpILJpzpeOVQK6TtJnRA4Wjz8fqmGKJFLovxjGxKoyu7n489mYXzvfFsf7O\nGZi76deOVkluVk/xkIInFzMYDJsMJTeOkmyxIJ+PQ0WIIJbkMWVsBa4YOTknY51r4rWhm050AzoR\nnxhdg/IAJ7sMY4l0d+S5m36dYWAmVoXVyck2VknZzqeUYFXeGYwiYqhW/LZStNatnDNpX7kU43Wz\nAr2E3jVYfku1biHi5bdUq96nzfOyK87w4nwKBXMPMhhFRIm4cWxTiitILzpKa6/Bk4vrcN/zBzJc\nhtLryrjWT/d0qjox241HlYDbmbkHGYxSwys3jtMJy62Jzs2SU3Zxeg5edJTOuAYGLsOKkF/OMYvG\nU6CU4nxfXJGcbH+VVKiO1m5TuiNnMIYgbhbBlXC6ynF7dWRn0nTLWBbbCk97DfrjKd2HlKPd/WjY\n/DYaZ47HqlunYmJVObY116Vz14pzlZQ3mHuQwSgypAm7PMAhJirqcpmonCrpCiWTdtPQ5Psc7Bpb\nvXPdsKAGG1/rBACsvm2aKkG62F2qOcLcgwxGKcJxBOGAz7WJ22lnXLvbubU6ksQooytDeHn5Dage\nU4FTvTFEQj6Eg/amrHx2BZZyrFrbT+KvZk/AFSPL0yWbCFBmcC20LsNoPIVn3j2OtoNnsHfljRkJ\n0qykE1MPMhhFiZsqQqft5u1sJ60YtCo4JxXKw0Efxo4IYfVt09DSdgTT1r6Kh186jKiDiudOz90u\ngkARTaTQ2n4SC+om4qFfHUpfhx370RtLoG8waTh2pWoyEvRj0Zwrcf3kUageU5FhcMeOCAEUw7oC\nPDNaDEYR4uYKwanc2c52bhvZlXOnyquMS/vrsL2/fEi9JYMdDvrRcO04rN51UDXuB3cdwuexpKWx\nK1deAxqD2zhzPFY3TMPSHcoHg/iwM1zDd43JYBQxbqoInSr37GzntpGdNCrsyv7cUi2auT4lgy2p\n/fTGPbEqDKsZC9LKS1tUd9WtU/HgLq27sAPbm+tzqktYarCVFoNRhLi9QnCauGt1OzfdcBxH5FYo\nbu0vl6RlM9enIFCAAi98dw4qQj5ZDagd96nemO2xaxOkDQ15qPQShHOBqQcZjCLFq2TQfBfEdbJv\nt2sR5oKhArG5HgNJdfHcJ+6ajXgq3eVZW/C2siyQ09j7B1NYukN/HENkpcUK5jIYwwE7Rsht46I8\n9mCShyAA4ZD7uVW5djLOBbMqJd/e3p5hRDY31aI84ENFmV9u+Fjmz/3BIJZIoTeawIO7DqkMYlUk\naFtVWaRYukDMPchgKJD6HZWKOsuuas9NwYT22Pc+ux8DSbHRYQ61A/XGuKK1AwMpwdH+csXQ9Rnn\ndd11oytDl9yRZX6Eg7nVUZQo8/tQGfJj/Z0z0LluHtbfOQOVIT/K/MPLPciMFoMh4qZsO1/YNUJu\nCib0jt3afgLRRG5G30l+mJcPGkbxRY6DYdzNCxcmxxFUlgVweWUIhACXV4ZydjmWIsxoMRgipVhh\n3e4E76ZgQnvsxpnjMX/WBCzbcSAno1+o/DAjjCrGl/nzXzndzUr4pQozWgyGSD6rJ7iFXSNkVZVo\nZfWiPfYDN1fr5FbZN/qFyg8zQ89Y5Nr+hOGMIRG9YzDcoFQa5SnFDxwBti6qVbVnN3vat5K3ZFWs\noS3ua5Sj5GVuVaEfNIZK5fRSgq20GAyRUmiUpyd+CPo4bG+2/rSfzcVkdfWiXWnEEvo5Sl7mVuWr\nTBOjeGCSdwZDQSEa5dk5Zj6qljttRFmINiDF1nqEkROsyjuDYZd8u3vsTrr5cIcZuknjPEBgaFwL\n0eixkM0lGYWBuQcZjAJiV0iQD3eYvpu0FrwgZFXpFULdxhR1wwvmHmQwCohdV1y+3GFalyVHgHuf\nzd0tWQj3az7x+vwEgab3G/K5Wm2jSGDuQUbpM9QnObuKxXy5w7RuUoFSR25JbZmnaDyVoXQslvhT\nrvea1w8UUpNJ5fVzq65hKcHcg4yiJZ8VKgpVvsmJYtHMHaY9D54XXDkvJ25J7efXfTE94RZj8rYb\n95rXOWPp/auvn51eXUMFttJiFC3KSQDwrt14oRVokZAP25vrZZdPOOhiodmmWuz84CS2vtHl+Lyk\n9hs/XzoHJ3ti2LzvE5y7GM9qXLWf38Qqd3pkeYEb95rXIhmj/dvp1TUUYCstRtGSr8TRQpVvkozM\nvc/uR+2PX8O3t7enC846RLfQ7M4ONFw7zvF5ySsQsVvuwy8dxo++/id46u7s+WDaz6+ru9+RiCQf\nq2A37jWvRTJG+3fSq6uUYUaLUbR4PQlIk2Ghqiq4bSyNzqN6TIXqd1sTse4YOyBQZF2taT+/x97s\nwqMLa2y5Qo3cdm65PY3GCti/17xOTk/vv1a1/0cX1mBkOFBUCfBew4wWo+AYPUm7PQmojjOYQiyR\nwoW+OABg36qvonHmePm9+aiqYNVYWl1pGE28Xd39qt+tnJfSoLc0TlddG6uGT/v5ne+LozLkt1W9\nw8iwRxO8q7FON+41r2sRpvcfunT9mutRFQkOKxEGwGJajAIjPUm3tp9Aw7XjUD2mAv3xFCJBH3w+\nzjWlnDbes/yWajRdNwkPv3RYpcTiCCzFa9zAinLQTrxNWwtQGdPycyRrXUIJvWNuWFADAGg7eEZX\n3WikvDP7/KzEiowMeyTkdzXW6ZYq0+vkdI4jcpfiIdKt2DYsT4tRUPrjKTz9zjHMnzUBa1681JF1\ny6JaXB4JufYEqS1/tHfljWhpO6LbuhwEeSvflM0g2S3bxPMCYsl0m/poPIVyvw+DvGBrIjY6Zkvj\ndLS0HUl3EY4EMZAUZANoxbA6kZSbjaVh89vya1bKTOUyDkZeYJ2LGcVPOOhDw7XjMlparGjtcFUI\noX1iN6xIHvLltZKD0p301N31KA/4AALZDWgn3iYIFL2xpNzPatmOA/h8IJmelG1UizA65pSxFXhy\ncR12tp/EtLV7ZLfcYCp7bM6qpFzrCi33cxluuy2LarH347Oq7ey4PUut0SdDDTNajIISS/CmLS2s\nBtmzxX208R4jJVv/oDvqNKtxKNmdRIFonJdVetJkGotbFwi4Jewwio1F4ync9/wBbNp3VLV/QUBW\nw2plbHoGpTeWRFU4oI4ThYNYNOdKR/GnWJJHa/sJtDROR+e6eWhpnI7W9hNDLs+pUHmH+YAZLUZB\nCQd8iMb1W1r8/vOBtFCCwNSYWHl61gba9358Flua1EqsjQtn4tn3jssTmNMvvt54LkTj4HnBcBuj\nSV3ql2VlgnZLBaknStiyqBblAYP9h3z48lVVaJw5HntX3ohPf3IH9q36KgYVhsDK2IyuwUBKUCVT\nK2OddgUP5QEO82dNQEvbEUxb+ypa2o5g/qwJKA8MnalwqK8mWUyLUXBSKQG9AwmsUJSn2bhwJoI+\nguU7s5f8sRr30cYyyvwcPj0fRfWYCnR19+OxN7vwyuGz+OSReQC1FqfRw2g8Ty6uM3TRGdUg7Fw3\nD/2DSfg4Lp18bBKDcbNtCc8LiCbSsbGu7n7s/fgsmuZMws72k9i076h6/8314AUBffEUHtx1SHG9\nahEJ+VHm9yGW5LOOzawOIwBX4k99g2n3qXYc25rrUFkWcLzfYiIf7Ws8gsW0GMWPIFB8PpDEzvaT\nssvmibvqEPSnDVaGO0nHLWZ1haEtfzSYEtDSdgTX/PAVNGx+W6WMy8XVZqZ4s1u9vau7H/e/8CFA\nkDUu5WaKwEBKwH3PH5CvzaZ9R7GitQN3f+XqzP0HffBxHB7cdUhzvTrQfTGOnmhCNzalHZvRNTjZ\nE3NtxRAJ+Q0/m6FCobs5ew0zWoyCIhmHTfuOomHz27jmh6/g/hcOYFRFyNAVlS1eBVgLzJtN8mZf\n/GyuQjMDZDRx6I1lw4IaPPZml+UJx808IaPzryjz6+4/HDIuMSS5+LKNTe8aPLqwBpte/8S1SiVm\n98pQiQMN9W7OzGgxPMPKJGA0ORoJEE72xDImLacrDLNJ3uiLf/Rcf9Yn/nDAhy2aONSGBTXY+/FZ\nw4lDGsu25jpZILDxtU7V6i+fmE18esV6jT6vM38YkI1utr5XGZ9Hcz027k1fA4lcVwxG90q5nxsy\ncSCvK3MUGk9jWoSQzwD0AeABpCil9YSQKgC/AHAVgM8AfJNS+jkhhADYAuAOADEAd1NKPxT3swTA\nWnG36yilz5kdl8W0Co/VpFgj//tTS+oRTajbWGxuqsWej89i8fVXZeTjuJ17Y5RgKxmSbDECvZjQ\nojlXZl355FK8183Cv3b3FUuk0BtNqGJajy6sAQGwetchR/EUr2IzeveKlZhbKVGiuWiWBpgPo1VP\nKb2geO2nAHoppf9ICPkBgJGU0jWEkDsAfB9pozUHwBZK6RzRyO0HUA+AAjgAoI5S+rnRcZnRKjx2\nxBFGk2MixSPOU1QoJv476yagKhJEOOj9RKL84h89lxZqSE/9VpJZnU4cTrdze5K3Mw6BUqz6RQe+\nd1O1LGx5/K0u/NM3a9EbTWBUJAgAts4rn9X37TbjZHhC0TaB/AaAm8T/PwfgLQBrxNd30LQV/Q0h\n5DJCyDjxva9TSnsBgBDyOoDbAbTmd9gMO9gRRxiVz0kJwP3Pq5Ve7x/rTVetyBErE7LkzuqPpzKq\nZ5g1atRuD9gr6eN0O7cD8HbGEUvwOHcxrqpScf3kUYglUrLBsmuA8tXwUhq/nWacjMLhdUyLAniN\nEHKAELJMfG0spfQsAIg/x4ivXwHglGLb0+JrRq+rIIQsI4TsJ4TsP3/+vMunwbCLnWCwUazDKLgf\nDuXmm7ebx1IqMYJCBuCNrlEkmP48naoxs8XBvB5/sX3GDO9XWl+hlJ4hhIwB8Doh5L9M3qt3N1KT\n19UvULoNwDYg7R50MliGe+gVb7U7CeTy9Gu2krLb8C+fT/y54MY1t4vyOpcHfHjq7nqUBTKvUbHL\nsEvlM2Z4bLQopWfEn92EkH/Rv0htAAAgAElEQVQFcB2Ac4SQcZTSs6L7r1t8+2kAExWbTwBwRnz9\nJs3rb3k5bkbuuDEJOJ2Es8VCnEygXlfvtoqZMXZr4rUayzK6zmV+X8Y1KgX3W7F8xnYpUdGFYzxz\nDxJCIoSQSun/AG4D8DGANgBLxLctAfBv4v/bADSTNH8G4AvRfbgXwG2EkJGEkJHifvZ6NW6Ge+Tq\n2rGad6SV1scS5q6oUs1jseLWzPWa23Gd2nH5WXG/DZU8qXwy1Es26eGZepAQMhnAv4q/+gH8C6X0\nEULIKAC/BDAJwEkACymlvaLk/f9DWmQRA/AdSul+cV/3APihuK9HKKXPmB2bqQeHD3pP+z9fOsdU\nCeaWKi3fT7j5KM8jtYqReptJqs17bpiccQy7ijuz65VPpWC2sRTjfo32PcSk+oVVD1JKjwGYqfN6\nD4Cv6bxOATxgsK+nATzt9hgZpY9efOpkT8zUFeWGG60Qhi8fcSGpoKyyt9mGBTW6BWXtuvzM3G92\n44y54JWB9NLwGu67Iuj4ntD2XgsH0o1Xi53iHyGDYYLeRL553ydZK6Pn6kZzow2IXddOPtyasQSf\n0dtszYuH9Gs+uqi4y6dQw60WLvnar9G+W9tPoH9Qv0NCtnuC5wX0RBOq3ms90YRpJ4JigRktRkmj\nN5GfuxhHJKRfI88t3Jhk7U5y+ZBl2ykoqxdzrAoHEEvytuNS+YwzemUg9fY7dkQIoMg5Tqe374Zr\nx+HZ945jw4KajDYy2e6JWJLHCk1B6hU73W286hXMaDFKGqOJXFKweZXf48Yka3fydLMgrhF2z0u5\nYg0HfOiNJR2JAvKZJ+WmgVSKR6LxFJbfUi3/rXHmeKxumJbR2NOJ4dIbc/WYCmx9owsbX+tUNbW0\nck+UcrV71k+LUfIUQvLrRvzCSFixrbku3cakAPLlXM4rV6FIvj5HN+OR2v1saarFzg9OYusbXdi3\n6qt4+KXDrogk9I715OI63Pd8Zm8wK/sv0r5iha89WCiY0Rr6FENuinIM0XgK4aAPA0nBVo1Bs0nP\nawWd2bgc1UwsQP2+fNd3VJLtoQOAq9dDO+ZyP4feWNKR8ZViWisUTVa3NNViVCRYSDFG0dYeZDBy\nIt/yaCM4Lu0S6+l3PpZIyIftzfUIh9KG75l3j8udgb1U0JnhNMk23wnEudwHbiQSK927jTPH44Gb\n08WCBxI8QNNxIzevh96YnapgfT5OboXD1IMMhksYJZt6qdKyi9OxSBPuvc/uR+2PX8O3t7djMMnj\n2IWo6n3FVOooG/mu31fo+0Ay0o0zx2P1bdPQ0nYE09a+iqU79lvu1pwruahgfT4OlWUBcISgsixQ\nEgYLYCstRpFi9hRdTHXsnI5FPy+pA+vvnIHdHZeaHmqfzO2UWHLzfVbId/2+Qt8HkpGOxlNymgCg\nXiGzeobuUxqmlTHsMHuK1iqpGmeOx75VXwUAV8r/2CknZKREi2bZzmjCnTQqbPhkbiWvSxAoYokU\neqJxLH1uP1b9ogMX+uIAAfoHUxnvLeUSQIUuxyUZ6UmjwobGM19V6ocTzGgxihKzp2ilG2p+7Xg8\ndPs0PPzSYVcmXjfalmxYUINn3j3uLFE4zhtK2rO5w6Sxd1+MY3lrB0ZXhrDqVsW12aE+F7fda/k2\ngsXQToTjSMGNpxuUUt1Hph5kFCXZ5NOSWwsUWLrDvdprTmTbgkARTaQQDqY7LEsdjs22cyIiyKbO\nk8b+wnfnYNraV/Hy8hsymleqrqHLar981EbUonJvxnlwHHRbo3h2zBxVfMVAsQibwNSDjFImW1sS\nye0iUOpqXMNshWcU/+E4gkjIn2EArCYKW413ZFPnSWPv6u7Hl6+qQvWYCtNr47barxAxJvk+ECgG\nxJWjlxOv0QRfFQ6UbOwqn3Uf3YC5BxlFidXqD2ZuNicY7W8wyZu6vpy4iOzGO7K5w6QxPPZmFzYs\nqMGp3pjpmNx2rxXSTZYvJaHRcQZSQsnGrgotaLELcw8ySpr0k286hiM9+T66sAaVIX9azuuwn5T2\nSbo84DN1Q2Zzsbil0rPa3mPsiBAevuNPwBFgeWsHxo4IYeXcqZg0KoxYnJdFAsr9DSZ5CAIQDhW2\n8r0T8pXYXIgEaq8phFvXAFYRgzE8iCVS6L4Yx8SqsBxTOt8Xz/qlMzIAeq+DZK9uYLY/p5O5XWOn\nF2+J80K6Lp7CsGuPX6o9xiTyNfEW0QTvGqUW02JGi1HyOHn6tftFzWWycrqtW5OJleOX+mScr4m3\niCZ4VymGsmhgQgzGcMGJoMBu8DmbMMQMdxOQ7QfIrRy/WOMaeivHgZSgK4bRE7YAaYPs1mSc7wTq\nfOFGWat8wYQYjJLHiaDAi7YghmWnHAoU3DIkVo5fjLlG2ryvp985ZiqG0QpbALiWN6b8bGNJ0VAV\nieiilHKs3IAZLUbJ46TPlNtqP7PEWqcqPTMlo51JysrxiyFRV4tWqddw7biMxoVmCkG3FIX5SJp2\nanhKvaqJE1hMizEssRubyJbEGkvylpKh7biU9Mb4xF2zkeAFU1GF0b6yHd/NuIYb+9LGKj/9yR2Y\nttY4dplxzKDPFaWfnXifW59zvnqYFRkspsVgGGEnNqE3qTy6sAYb93bi3MV4Ork0EjB15TmJGeiN\nERRY/sKHtuNcVo7vVlzDLbGCNlZ55g8DurFLqa2GtirFk4vrVO9vnDkeq26dCkCMc1k0pFbdtE7P\nO5fYZbHGIr2EuQcZwxaryb16bqYHdx3C926qvuRy8igmpB1jOFT8k5RbbjltjcnyIIdHF9aoXJgb\nF87EM+8eRzSRecxn3zuOLYtqc65RafWzdXreuRieYoxFeg0zWoxhh934gdGkcs3oCPauvBEvfHcO\nCAgev2u25zGhYp+kBIG69vSvXGmumz8D3/+XDvx0TydaGqejc908rL9zBoJ+gk37jiIS8mccc+sb\nXartH9x1yJEhtRrvMzvvWML4PsvlMy3GWKTXMPcgY1jhxIWjJ6lffks1eqIJtLQdkffzT9+ciZ8t\nqUe5h1LoXKT3XiNd22g85VpNQ22NyZRA0XYw3W9Mik81zhwv11vUHnMgKcjJ4U4NqdJ4lgc4xBI8\nIiF/xmdslHpxsicGv48YVmnJ5TMdqhJ8M5gQgzGscFrFPUMQsbgO9z9/IGM/6++cgcsrQ54GwYsk\nETQD6dqOrgxh9W3TsObFQ1kfDKyeS99gEst26F/veErA3o/PomnOJKzQEagMpngkUgK+p4gFStvb\nESxYKdWl/fuGBTXY+FonzvfF5XtDEu5o88mK8TPNM6wiBmN4YUkh57B2nFY9GA7pK9M6180DISjZ\nOnS5oLy2jTPH44Gbq1E9pgIDiUu1DpXwvICouGrp6u7H3o/PYtGcK3WNG88L6I0lVKrJDQtqsOn1\nTvzTN2vRG02gKhzISDwGgJ5oHK3tJzF/1gSNIa3FqEjIsnGw8sCTbsLJozzoU7Wpke4NgKI3Wrpt\nTDyGqQcZwwerbj+n7ThUyroyP/oNXGCnemOer7SKFeW1bTt4RtVTTG+F1RNLqFZGGxbUoLX9BO65\nYXLG9fP5OESCfqy/c4ZcY1JawcQSKflzrvClw/TK8lTLW9O5XV3no2hpnI7qMRXoG0wi6OdsGQor\nsTqOIwAB7vpZu+69MaoiWFJtQIoRJsRgDAliSR6t7SfkIH1L43S0tp/ICLS7FbhO76dWtZ9HF9Zg\nZDiQl/hSvqsgWDmenWsbS/JY0apOFF7z4iE0XDsO4aBP91hlAR8iIT/u+lk7vr71HZzvS6cbRILG\nyk+loWk7eAYNm9/GtLWvYkR5AGV+9yuLXLoO+veGnmCk2NSfxQ5zDzKGBLwg4PefD6rcPxsW1OCK\nkWXwcepnM1fbhCTSrkI54djvfSwi30Vb7RzP6rU1ctN2rpuHaDyF+54/4EqLF0OXXnM9KsrsrWxs\nXwedeyNbEvowx9LNy1ZajKLG6ooiluCx5sVDGU/uerJhu80XjeA4gooycT9lfoRNnvjdJF8ND50c\nz3Lum8GqJRpP4dn3jhseS3bTSrcBgel9ob/6qwXHwfbq1KhcGICMe9To3rC6Gh1u9QTtMOxNO6N4\nsfNka+R2iQzBp9d8V0GwczyrKyE9mfeWRbUIB33Y+kaX6bHs3BeyoWmuRzjkwx+iCfh8HMoCPkTj\nKZT7ffD7rT+7a6uG2F31WpGoD9X2J27BVlqMosXOE36xJ926Sb7P1erx7BRv1Vu1XB4JYTAl6B8r\nfqlIcDSRQmv7CcsrTUkcsffjs0gJFPc/fwBTf/Qqlu04gN5YAjwvqM7BzgrHyao322o03yvpUoMZ\nLUbRYucJ34nAIhcXTCHdN/msgiAIFBxBhrBA73h2J1u9ydvInccLgmwMl+04gPmzJqBx5nh5X9lW\nmuGgD9dfc3lGlfgVOzsQ01TNf/qdY5ZLPXmx6h2O9QTtMPR8J4whgx15ut3KALm4YArtvslXFQTl\neY4dEcL6O2dg0qhwOk9NJ+/Krck2EvLJ7jxJxHDvs/tVMvE1Lx5CS+N0uTqGtBoDge61iCV4jCjX\nL2ocCfnx7e3tKgFP1/ko2g6eySpHd5pCYYYX+xxKsJUWo2ixu6KwI7BQrgrumDEOLY3TURUJImpS\nI05v20K5b6yeay4rQuV57u44g5s2voVvb28HCHSPl6vbUjKS9z67H7U/fg3f3t6OgSSPsoC+Mawe\nU6GSlK/dfdhwdRQWY1h64zv3xaAqVWL3R6fxwM3V8nFMV3AerHqHYz1BOzDJO6Oo8azHU5zH2t2H\nIVBYLjkk78dCVY1iKLWU64qQFwR0dUdRPaZCru7wyuGzhtVDcj2ekTx9W3Odbgmnbc11iIT8ONkT\nw6bXP5FXXUYS8lQqXVVjxU5lqafadLuXneok5/GXlaH6R69akqMrP+vBJA9BQHqVmKXdjdn94fb9\nUwz3owVYGScGQ8KoJxYBsFqs/i2RbaLKVs6n0O5Dq+M0g+cF3YoVuz86rVuxQkJvcgSs1dUzzt26\n3bD0EQhsleXieQGxZLp0VDSego8Q3KtzjR6/aza+98KHtj43q597MefZFRiWp8VgSBj1xPpSedAw\nDuO08oPb7kOnLr6c+jQZVKy4+ytXm7qplG7LcMCHwRSPnmjckqLQyL04kBR086M4jth2Sfp8XLrS\nOiGoLAugzOAajSgPqI6jhecF9A0mIVCKvsGkbAytfO7FnGdXCjCjxRgWGE7gIZ/upHf0XL/hBGuU\nZCpNbm6qv+zIyLXkEmMyynurKLOWQC2Nu/tiXK79l23CNHsYMIrhmW1jxdgbXqN4enyUZu6D5wX0\nRBNYtuOSdL4nmkB5gLP0AJTr/eFWP7hSVSMyo8UYFphVYNDKuTcsqMFjb3Y5rvzgZh5VLk/J2VaE\nZpOfkWghGk/ZGvfEqrDlCTPbw4AeettUhQOWV3h610gSdTz9zjHdB4ZYkteXzoufe+PM8di78kZ8\n+pM7sG/VV3H2DwOq4+dyfzh5iBlqOYyex7QIIT4A+wH8nlL6l4SQqwHsBFAF4EMAiymlCUJICMAO\nAHUAegB8i1L6mbiPhwHcC4AHsJxSutfsmCymxdBi1Oto90enseTPr4KP4xAO+XD03KV2EoC1tiVW\njuU0hmAm+hgUlXVOAv7ZxiitJrSihUjQjzILQXxp3C8vvwEtbUfyVmtP2Yjy4ZcOWzqu8hopRR17\nV96oO/afL51j+Jn0DSTRF0/hwV2XhD2bvjUT61/5L5zvi6fTFAI+x/eHW/3gSjmmlQ/R/woAvwMw\nQvx9A4D/l1K6kxDyBNLG6HHx5+eU0mpCSJP4vm8RQv4UQBOA6QDGA9hHCJlKKS3NxwRGQZCeyLc1\n1yEc9MutLdoOnsH7x3qxfUk9Ygk+Y5Jykh/jZh6VWTfcoJ8DpQn80ZfK0R9PIRL0wedTO0+0ZYfk\n/SpWcEBmiwyfj5Ovl6TQe+Tl3+HcxbilCU8a92NvdmHDgpoMdaZX8m3pvF747hxbKzypO/LcTb+W\njVH1mArdfcTi+p9JNJ6CjyN4UCHsef9YD1b94iB++tc1uHnjW+n8NuL8/nDi6htq3Y09dQ8SQiYA\n+DqAn4m/EwC3APiV+JbnAMwX//8N8XeIf/+a+P5vANhJKY1TSo8D6AJwnZfjZgxNOI4gEvJj2tpX\n0bD5bXk1JX3p3cyPcasor96Y0s0PP8Hf/fIgkjzFtLWv4r7nD6BHLElkJd5hZfLz+TgQQvDt7e24\naeNb2N1xxrJ7Uhr3+b44Nr3eifV3zki775qzu/xyQTqvru5+2y4xrRvNaB9fDCSwYUGN6jPZsqgW\nPkIQNogFXjGyXHV8p/eHU1efW/djMeD1SmszgIcAVIq/jwLwB0qp5Bg/DeAK8f9XADgFAJTSFCHk\nC/H9VwD4jWKfym0YDFtkqzZQbE+kyoKvUjdcaYXo5wgmVoUvxVVaO/Dk4jrDth5KrFZdcBrE13u6\nB4WjdiB28ouUK7ytTbWIJnhMrArjVG8Ml4UDKDcpjqst4rv347PY0lSrcpFuWFCDDXs6AUBuKDmQ\n4MELAu59bj9aGqfrX9c478oKU6/Q8HBLPPbMaBFC/hJAN6X0ACHkJullnbfSLH8z20Z5vGUAlgHA\npEmTbI+XMTzI9qU3cqe5gdMET7NuuF3d/fLvUkkiK11xrU5+uZQUyvVaOonFSOfV2n4CCZ7i4ZcO\ny9v+0zdnIujnEPbpGy49Q1vm42QXaTSewrtHz8srdKkz87bmOtz/wod4/1iPrjv00YU14AhcWWEO\nNVefEzwTYhBC1gNYDCAFoAzpmNa/AmgA8Efiaup6AC2U0gZCyF7x/+8TQvwA/hvAaAA/AABK6Xpx\nv/L7jI7NhBjDFyuGoRDVAXINhhslR/90T6eqEkRL43Q0bH5b3s5MSGL1WhUqiG9HdKCtSsELVLeK\nhp3mj3rnvqWpFjs/OImtb3TJ7VRGRYKYtnaPHAtrnDkeD9xcjSljK3CyJ4aR4UA6N4wrnmopRUru\nQgxCyCqzv1NKN5n87WEAD4v7uQnAakrptwkhuwD8NdIKwiUA/k3cpE38/X3x729QSikhpA3AvxBC\nNiEtxJgC4IPsp8YYbphNsICiKkNSnCgI8UTBpkc24UM2Mp6w4ymkBIrzfXH4OSJPoDvbT6q2M1sV\nma2ElBNrecCHp+6uz6pU1Ns2l0nZqmtS73P/+VIDIUbIuhtN+5mNrgwhluDxt1+bgnv+YjIIAZ56\n5xgarh2nWo22HTyTVgo21+PyypDq/O1UzVBew3I/h4GUwAwdsgsxKsV/9QC+h3Qs6QoA9wP4U4fH\nXANgFSGkC+mY1VPi608BGCW+vgqXVlhHAPwSwH8C2APgAaYcZOhhmNOU4B0n6LqFGwmeqmB6WQAj\nygLqnKZwEIvmXJmzkCQjF2jHfkTjYkwqSxA/l2RoLVZFB3qf+8memGnSsNHYlSIW5WfWOHM8Vt82\nDQ+/dFi+Jp/HEug6H5VdghnXPejLzOGzkHdndA3ttEwZylhyDxJCXgOwgFLaJ/5eCWAXpfR2j8fn\nCOYeHPro1rgzqUP37e3ttnJb3CaXOoB2cGOVY1a4NiK2jTc6jpvnqb8qqUUk5EeZX7F6UeSySa65\na0ZH0sVxW9V5ZqMiIcN8tp5oAq3tJ9Bw7ThUj6lALJGSXYxGOVtP3FWHynI/YvEUAKJqpyKNUXmt\ngOy1Eo2uodL1m+/7N0+4mqc1CUBC8XsCwFU2B8RgWMZs8jVysZQHfIbKrbEjQti78ka5Yvnjb3XZ\nLmNj1SDovc9I+FDu5+SnejfcPm4ISYxXhX70RBOoCgfQG9MvYOtmySClcjIc8hnmikkrstGVIVXF\n/uW3VOPJxXWoKPPLLjajzy+W5NHafgLzZ01QbS+pB41ytirK/Jj6o1flGONgisO6f780Ru212rfq\nq6p7tHHmeKy6dSqAtLEKB3yG17B6TEXO13QoYDVP63kAHxBCWgghfw+gHenqFQyG6+i5Ry5E43Jb\ndCMXC8cBWxfNwqq5U+QyOk8urkOAA1Y3TMPej8+iq7sf1WMq8P9841okLJRCklxGvCDggklZIK1r\nSevKAaBbbqg3lrTkSstnp2Qjt1xXd7/syjJycTnJIzI7N0k5aZYrJj0QrLp1Kta8eEge16Z9R3Hf\n8wdkA2V2rcNBHxquHZex/c4PTmJbcx0GTK6JsgBz/yCP791UrRqj8lptev0TPLow7UqcXzseD92u\ncDlKZaLixseyek2HMpaMFqX0EQDfAfA5gD8A+A6l9CdeDowxfNGbFFe0diCa4CEINONJtHHmeLQ0\nTkdZwIfKkA9Ncyahpe2InHT7RTyFw6f/gPmzJsiv3//8AVzMMvkrjWdXdzSj6rk0KWmN7H3Pp9vB\n3zFjnOp92gTPgZRgqa6gm3EiK4QDPmwxqMcoyeqNVlN2E7StnFu21Zu0Ips0yrjOYbZYUizB666m\ntr7RhUjIj3BQP8n7sTe7VMeaWBWWV0R616rt4Bls3NuJ7c31WDd/Bh7cdQijK0N4efkNeOG7cxCN\np+AXH75UyctNtTh2vk/1MGaWczaUseM/CAO4SCl9hhAymhBytVihgsFwFaNJKhLyy5OM5GKRAuSS\nS2ffqq+qas5JBu/xu2Zjx398JieEdnX3Y2f7SdPeUMqJzsg9JLmatMpAZTt4I1eOVVdarspDu0hG\n4PG7ZqOyLKBKaL5+8ii5mK4bCdpWzs1KrpgUT9O+b/kt1YjGU4iE/GhpnK6qK6m81uGAT3d7qTxT\nZVlAdV7ReArPvHtc3pf03lO9McRTgmpb7T7PXYwDJP35jx0RwqpbtU1IazGyXJ1Q/p9nvsDsK6uw\ncqe1GN1QxpKpFl2CayBK2AEEALzg1aAYwxsz95T2af6Bm6tVLh2jquIjygNY8udX45rREfQNJjFl\nTAWW/PnVKDOrkKAwKmZlgbLFIIxcOVZdaYVoLRFPCRhI8CAECPk5cARyuaJsqyk7JYOsnJvV1Zv2\nfavmTkHTdZPkFiItbUew+rZpaJw5HoD6WnMcQTjow+amzBWmckWn7BXWNGdSRnX4yjI/Hn+rSzVG\no7HHEjxWzlW7NNNGuyO9MifAqd4YqsdUoHbSSPzig5O67xtuWH1M+ysAs5Cuyg5K6RlRQchgmOJE\nzSa5p/S65l4xcnLG07xy0pOMi/ZpuX8whef+47gq0C7lNl1u8LSqfMI3K/xqtBLo6u43dY+5UZUi\nHPC5nqgqCBTReAqrfnlQ9VQfDvpR5ufkYrpuFgQeXRnCAzdXo3pMBU71xjCY5BEOXlpFGR1PdX8l\neVSFA6rVkDLBWLkCPt8Xz7jWgykBv/jgpGo1fqlTs/rhZiAlYGf7Sfz0r2twxchyxOI8ookUygM+\nbPpWrWqMRmMPB3yGLs2KkB8XonFVRY8NC2rQdT6qu1IcTliVvH9AKb2OEPIhpXQ2ISQC4H1KaY33\nQ7QPk7wXB7lUU+B5AdFEui16V3c/9n58FovmXJmxrVYe3DgzHdxWtobY3FSLX3xwEg3XjrPVJkM7\n/uW3VOPur1wtq9HM2nxIlRIGkoLphJ5LVQp9FV+mJNzucQ1l6zaqSVhFENKdf7XtPIxcX6pxx9M1\n/+5/4UPd+8usrYvetbZzv5rt204bm/7BFJbuyLzWj981G98TS0MpXx/isndLF86q0VqNdCWKWwGs\nB3APgH+hlP5zLiP0Cma0ioNcc3acTuhP3DUbPi5dcftkTwwTRpbjj//XHnSum4dpa+1NNLnI3HN5\nn5XtBlM8ui/GMbEqjK7udB+w831xrL9zBiLiatQsJ8locnZrQraK0cStvU+slrKStnPae8pKJQq3\n8tEEgeJCNJ7hVRh/WRn++H/t0f0Mjp5LP8Q1zZlk6CUoUSydiFX14Eak24W8CGAagP9drAaLUTyY\nxSusyLazxUakCaYqEsC25jpZSl5ZFkBFWQCgwOWVIQwmBdldZ1eObWUM/fEUQNKt2c0eAnNRAWrH\nAUBudDht7aV4zdgRIUysCpu2D7GipNO7Tv2D3kjtwyH7ghSlzPyBm6t1t3PSakYbtzKSybvVxobj\nCEaFg3hycR06181DS+N07P7otOFncPRcP1rajqDpukmoChddE8e8kNVoEUJ8hJB9lNLXKaUPUkpX\nU0pfz8fgGKWN2RcvV9m20gBMW7sHy3YcQE9/QrVykSYgSa689+Oz+uV2HLZ10BqhZTsO4PefD+Kd\nT7p1846slPCxSnpfagn+mhcPYeXcqejq7jeNd2QTPxhJ3p9977gngX9DQUqcV10/M8GL1OK+c908\nRMVtlPEkudSVjUK/Zp9XrvtW4vNx6RSIJI8pYytwzw2T4eeInM+lldi/f6wHK3Z2YGAYijAAC0ZL\nrPMXI4R8KQ/jYQwhjBoYSl88pxM2YM8ASBPMPTdMxhUjy1SrslyqleuNYc2Lh/Dn14zGfc8fyHw6\nd1EFaLSvSaPCeOzNLtMVZDbVonS9Whqny0//G1/rxLELUYDC9QRnvfvk0YU1WLv7sOr6GY27++Ig\nVt82Tc7BW7bjgLxNLs0PreSHOd03zwvoG0xCoOmYHqVUta+yoA8b93aipXE6Pnnk0megFGFEhk4s\nyxZWz3oQwGFCyOsAotKLlNLlnoyKMSTQKqeOnuvP+OKFg76MthKCkHYZmcV87BoAZXmjyrL0s1qu\nAWyjMVSU6fe0Ai7ll0l8+aoqDCR4UJr9nJUYKQp///mArjJOQhAoQIGfL52Dkz0xbN73iVxySPn+\ngaSgEq00zhyP1Q3TsHTHfsuiGqvxO+19crInpopTSddPX21Zi0jQj3sV8SW38thy6SVmBs8L6Ikm\nVM0ltzSlhTs+sddXLMHj3MU4Gja/rVv30I1xlCpWU6pfBvC/ALwN4IDiH4NhimQsYgkeLW1HMpIx\nB5OXKrCv+kUHeqMJLN2RPebjtO14rihLDkXjKSy/pVr1d225HUBdLULrdtvaVIsvBpKWzlmJ3upk\ny6JajL+szHAFKbszxeT9kcgAACAASURBVGM9/NJh/Ojrf4Kn7s58f0bO061T8eAubT6R8UrZbvxO\n+VAxd9OvVfeJdP30XXIhlGV5gFF+Zn2DSfCCYGml6FbcSkssyWPFTrVrd8VOdc6V8tiPv9WV4SrU\njiOfZb4KjeUmkISQcgCTKKWd3g4pd5h6sPgwK3IrKceMKmkbNf3TVuWOxlOIBH3y02o+zmFLUy0O\nnOjF5NGV8hjCAR8+vRCVqy8oz4EXBHR1R+U8oHDQh4d+dciRCs2uEtGu4s1udfJcjpXLdmbbhAO+\njM9MyvlbNGdS1vQALxo2WlVnWvVAFLJRp8u4px4khPwPAB1I97MCIaRWbM7IYFjCKHCtVI6ZlUrS\nQ6/OYG8s6dlTpl4Ma+cHJ1F3VZVqDGe+GMTej89i9W3TsGruFNVTseR2u+aHr6Bh89sYf1m54ziX\n3ZiKU5cqR4hlsYTTY0mU+7nM1WiW1Y1p1QmDuGPDteOwvLUD3RfjllaATuJWRkilnZRIJZ+0x5aS\n18vE1jt6Pc3cFPiUAlYfSVsAXId0sVxQSjsAXO3RmBhDFL0JQDkZWpWkS0+W/30xbljE1gukWnFS\n0dK9K2/EX82ekDEGaVJc8+IhfOcvrr6U/6SIJ721+ibMrx2PU70GzQo9cHPm4lK1KpbI5ViCQNEb\nS2Jn+0lZBPLk4jpUhQOmxsJMyWemOJQK3OZ7gg8HfRkqVmW5KAmrLtZClPkqJFaNVopS+oXmtaHr\nNGV4itL/zhHIT9ZWfPfApSdLozqDXn1ZB5M8VjdcUqm1tB3BFSP1V0rSpBgJXWqaqBdP+qMRIWy1\nubJwSi4xGq1hWH/nDPx0T6duqxCnx5I+1037jqJh89u45oev4L7nD2BALECbbXx6KyKzOpbST717\nxssY0UBSwO6PTqvUmbs/Oo2BpPo8ra6gChXfLRRWpScfE0L+JwAfIWQKgOUA/sO7YTGGKnr+9+3N\ndXhycR0iIT/++4sBbPrmTIz9UhlicV4OwCuRniyN6gx6paoSBMhiBACqtu56dQeVY9GvZt4hiwms\n1PGzWiHE6D1mdfCsIBkGgVLM3fRrVUxGO/E7OZbZisFpbElPcSjFtDYsqMHG1zoz7hlb5Zwc1tZc\nNOdK05qT0qr8he/OkaudGHUMsFrDcqhg9Zv9fQA/AhAH8C8A9gL4B68GxRi66E3eS3ccwFN312Mg\nyWPcZeXpJ0QKwzp30pOlWRFbL9Cr3LB53yfYuqgWy3WK+yrHYurCsfAQbzaRApAnzv54Cs++dxxb\n3+jSnWzd6GxsVQpu91iG+43zGBDvGz0jwvMCYsl0nUpJCCOJcbTGMyp2iW6svQKbXu/UTQ+w2grG\nqQAim0HneQE9sURGaScAON8X173Odh4QvBCX5BOrtQcXUkp3ZXutWGDqweLFjbp2ysli7IgQVs6d\nikmjwoYrM7fQK8676tapmFiVNrTypBn0ZRTKNVK4PXV3PaJx4wlZPrZBfT697aUVhFa56BZmBXz1\n6vTlut9IyId7n9VXB5b5OPTGzHOe9I5jNmlbvUfdqj+oHVt/PIX7nj+Qsd9sNSWt7r+IlYauFsz9\nkFI6O9trxQIzWsWLG190qTpCOJSu9M1xQJk//aTs5ROk1liubpimqUxu/OW3IvmX0F4PQaAA0Zec\nd/zv23S3l6qBe1XoVq+wbGbFefuToZ5BMTr3znW3I5bg8cy7x+W0B6kjwHf+4mpUlgUcnZtZlXsQ\nXKru70Fh4f54ur2JUWFnUOR0T3thaF0kd8k7IWQeIeSfAVxBCNmq+PcsgJTZtgyGHrkmbGoFDUt3\n7Ec0zoPS9OtPv3MMR8/1o1zsRMvz2YP4ZsdSBuMByG4YqVW6VeWiFcm/hDZuEUvycuxMyZevqjLc\nPlsDSr3zsyM20AofBlKCK7LrbApT5blLDTjnz5qgEsfMnzVBN7HY6jnmWlYqFwFEWOxUbLTfXB/C\nhoLSMJt68AyA/UiXcVJWwmgD0ODt0BhDES+LmLa2n1BNYPc9fwA9MWdFeY3kxkA6PmO1Mrn23O1M\nyBLhoA+b932iU+y3FrG4sTrO7IEgl4rzeng5GRo96KTdsXxG5981Lx5CLMHbPkdlxf5IyIftzeZK\nSS8qZsQSvG5hZ6ljdK64YWgLXX3DqnswQClNiv8fCWAipfSQ14NzCnMPlh7a5n4cB5QFdLL/TVwy\nUtsGN1wf2dwobvZTyhZjkI6l7e47ZkQIZf7Mig9WGlC67Sby2u2k5zaUDMdUA1daLMFbHpNxnDSF\ntbs/xu6OMxn75wjJGh9zcp59g0kMpgREgumHo/5B9yq95BrT8jgmZmkHVu+m1wkhjeL7OwCcJ4T8\nmlK6yunoGAwJo+Z+G/d2ysVcpS+FkcIsGk/ZrqhhhpX2HW7IjK0ov5TH+vrWd+RjhXycqp9YJKTu\nqKxtEW/n/OzitexaT4kYFl3Ay2+pzohpSa5Dq+coreBHV4aw6tZpKkXqowtrIFDI9RBl16RkOF1u\n/JngBaxUCEu2Lqp1ZPiNjptL2oNVZaWXWF1pfUQpnUUI+S7Sq6y/J4QcopTWeD9E+7CVlvt4KZM1\nekqXxATKp2Mz5Vo0weuqrrxYaQH5lQ67KXwQBIpoIoVw0K/KAcq1qzTgTAiTS9fndBUNffXgQEqw\nvtISV/AvL79Bd7W+/s4ZmLvp16r7zcr1t7syyecK3gked7V2r/YgAD8hZByAbwL4d8dDYpQkbsc/\ntJiV2pH+r+xhpBcT8/k4RII6VdQXzUK5n3MlGK9dOXhRl84It4QP0me5bMcB/N0vOxDyc9jcVIv3\nf3ALnrhrtqWVUbZ4n53robevvsFkukuy4vMyOuZgStCtmD6QEmzFnKQVvHK1LjWWfOG7c3B5RQid\n627H9uZ6RELplAbt9W9tP4FoQj1uu3UBs3b7tngPe1WPsBiqb1g13T9GOqH4XUrpbwkhkwEc9W5Y\njGLCa5eAkctPavGhTVw1Slr1+ThcrqguERXlw9pETTcSQAuNU/eemRts66JaS8d2837Q7mt0ZQh9\n8VRGKkF5wKd7zJ8vnWN4HThi/TOUDJxUC3J0ZQirb1Nfny1NtaiKBHH68wFMrFKX72qcOR7zZ03A\nsh0H1B6ASCBjfGNHhORmmtoxGX0X+gfTuVtW72GvhDHFUH3D0kqLUrqLUlpDKf0b8fdjlNIF3g6N\nUSx4LZM1khg//laX7dWSVBm7pz+9mvj0fNRSUV09RVQ+V1J2cfrEK32WD9xcnaG6W97aYelJ3MsO\nzA/cXK2bSmCk1sxWMd3qZyg9pIwRa0GuunVqxvVZsbMDn56P4uGXDqOnP6HqpaZ/PT/K+JyUzTT1\nvBZGfdKefe+4rVWTVyuiXNW/bpAtT+sh8ec/a/K0thJCtuZniIxC47VLIOOL0FyPqkgQm75Vi+1L\n6uX4gdY1xPOCriFTPr1bEWdIiq0LfXFQClzoi6dboWsMo1Wpbz4kwU7l1npuMAmrhsfN+0G7L6Nx\nGUn7rVZMt0K6KrwfoyIhTBqlX4y5ekyFbMDu/srV8nGNxh0J+VUu62zNNI2MwtY3ujL2bXaOXjWw\nlMZYyIe5bGv534k/maphGJMPl4DK5aeoOSjJy7Wuodb2E2iaM0nX7ad8erdSVHcwxaMvnsLDLx1W\nKcYCfg7hoL0iqvkqk+PUfal1gzkpNuzkfjASW2j3ZTQujoPqfctvqcbdX7kaA4lLFdMl9eDuj07j\nnr+YDBBnJaU4jqBfXMEZuax/+1kvKsr8Kle03vuPnkurGZ9cXCff19keFrTub6OxmH1Wxe7ezgXL\nnYtLCaYedJ9CFtnUUyyZdTkGICuwGmeOz4hNZORBGdT1295cL080VlVdRV4mB0D6sxxM8YjGU6pC\nv3bzdayqB7MZcm3BW0GguP+FDw0LA5cHOPRE03FK/XJatQj6ON19WL1ntWNefks1lvz51ago88uy\n+nv+YrJ8f+ido14NSAC2748irxfoJq7WHvw/yKxF/QXSK7AnKaWDtofnIcxoFSdODZ+eIfj0J3eY\n1mfTTjh3fyU94TgtkGq5RXqW9xVThW09Gb3TgrdmE2ssaZzkGw5kJkdvXVSLSMivm1wOGBcunjQq\nnC51RGBYYNeubFxrJM2K8iqv59Fzl1IJAON706oBysd9UwT3pquS92MA+gFsF/9dBHAOwFTxd0aJ\n4Ha8xU6cx6lsXs8/bxSAl+qzKeMC99ww2dQHbxQvicUvxWisxnHM3ud16oBdlLGJcMCnGze0OjYz\nibWZcEN/uw4IFIafl3Z/bQfPYO6mXwNIu9PKAu4IRaTrM5AUMsQ8kqxeef9LFTpiCR4tbUdkgwUY\n35tWhQy5xpGyfU+L7d40w6rRmkUp/Z+U0v8j/rsLwHWU0gcAFGWld0Ymbt+Yyv2t+kUHLvTFAZJ2\nt2n3KdUGVHZrbW0/gcEkfyknZzClK67Q+6JHguaBZjtf8nDQp9M9uFY1yVkNbJu9z6vcGTfIdWxm\nhslM4edEiZjtAcJt4ZDZGPW+T+V+ztK9KfuuCDyt4Wfle1/M96YWq+7B3wFooJSeFH+fBGAPpfRP\npWoZHo/TFsw9qI9X9eb0clq0Lg9eEPD7zwdV79m4cCYqQj459rD8lmo0XTdJVd0gW7sPt9wZuXYF\n1ntfeYCT+2zFEunfp63d41U1gZyw5CI1cSdG4yk88+5xbNp3KX1TurfKA1zGZ79hQQ2uGFmGgaT1\nqhXyWLPEeKS/t7afkMs7RePO6/cZfW+2Nddh2Q79CizZSjzlM05lqbqLt5UurOKqe/DvALxLCHmT\nEPIWgHcAPEgIiQB4ztn4GPnG9Xpzpjk/6qe0WCKzGvfqXQfxeSwpv9Zw7biM6gbZ2n24Jb012pee\n+8dKzk844ENvNIllOw6onm6VuT1A/qsJGGHoIhXHpn1af/qdY6rfl+04gKbrJmHV3CkZq4uB5CWF\nn7TK3v3Rabmgr11pdjYXG8cRVIUDaJozSVXxvzeWmcagh9aVprdy2iKuxA0Tm7OspvK5srHyvS+G\nShdWsfR4TSl9hRAyBcAfI20N/0shvtjs1eAY7mK1Tbrd/VnJ+YmE/LrvmVgVln93s+CtG+TyNKxX\nNWJFaweeXFyH94/15qWagJ2VIS8IeHRhTYYKT6kKVJ6P8gFDPr+dHdjWXIe//dqUDFn7ojlX6krk\nM6TZYoV/aZI3GrNRVRSJgdSlOJQ0PitVO4w+85HlATy5OF2UuKu7HzvbT+Lur1xt+n0yu3/y2dfK\nyve+GCpdWMXSTEUICQNYBeBKSulSQsgUQsg0SimrQ1hCuH1j2sn5MfrinOqNyb9byanKJ7mUKzKa\nlJS5PV4qtOwY3FiSx/0vfIjRlSE53+lUbwwRxWpSez5mybTSSlQiW86QZIAEgWJAvOa5usxyLXOl\n/cy3NddlFGMGgC2LajNyBY0MvfL+AZC3e93K976U8rqsugefAZAAcL34+2kA6zwZEcMznCiXzFRH\n2tI3Zi4ePTfQ43fNRlUkiE9/cgf2rrwRx873YUuT+X7ySS5Pw2bulnxUE7DjfpLOs+3gGTRsfhvX\n/PAVzN30a5QFjN1HZt119bDiynXTZZZrmSslkjHWvr71jS7T75PZ/eNlxQotVr/3ha50YRWrJv0a\nSum3CCGLAIBSOkCIeXSOEFIG4G0AIfE4vxJbmlwNYCeAKgAfAlhMKU0QQkIAdgCoA9AD4FuU0s/E\nfT0M4F4APIDllNK9Ns+TIZLNraLEytO6VPqmzO8zfUrTPskNJjOTW7csqkVVubOnPS9yTHJxpxba\n3WKrl5QD99Hej89iS1Nthmgml/Nztaahw+tv1q9N7/WBpGD4fcp2XfO5srHzvS92rKoH/wPA1wC8\nRymdTQi5BkArpfQ6k20IgAiltJ8QEgDwLoAVSLsZX6KU7iSEPAHgIKX0cULI3wCooZTeTwhpAvBX\noqH8UwCtAK4DMB7APgBTKaWGj0xMPegOXlZ3cHPfnvUOynG/hUzWtHN97ZSocisZOdcxW8HJ9de7\nFlsW1aIqHEz37bJRQWQYVbJwC3cqYojGZzHSK50/BfAagK8AuJtS+palg6RjYu8C+B6AlwH8EaU0\nRQi5HkALpbSBELJX/P/7hBA/gP8GMBrADwCAUrpe3Jf8PqPjMaPlDl7KYN3ct5fGtQiqBDjC7oTp\n1nnmsp9imeSV59A/mMKz7x3H1je6slZW0duHNu2hVO6fAmHpwmT9RlNKKSFkBYDbAPyZuOMVlNIL\nWUdAiA/AAQDVAB4D8CmAP1BKU+JbTgO4Qvz/FQBOicdMEUK+ADBKfP03it0qt2F4iNtqQ6/27dSt\nZGWCLVW3it3AuhvnmavRKRYxgHQt+uMplfhi076jeP9Yr2MFIlthuYNVIcZvAEymlL5MKf13KwYL\nACilPKW0FsAEpN17f6L3NvGn3qdJTV5XQQhZRgjZTwjZf/78eSvDY2TBy2CxW/sWBGpc0iluHHQv\npbI1TtGWaYolecvlu5yU+3JDSFFMYgA3FIjFXl2iFLH6SHUzgPsIIScARJE2JJRSWmNlY0rpH8Sk\n5D8DcBkhxC+utiYAkAp0nQYwEcBp0T34JQC9itcllNsoj7ENwDYg7R60eF4ME7x88rWzb6MVkbLy\nwYYFNaqKC48urAEvCHIZKO0+QOFpN+ZiwihOMyoSlBN83ajWkM/co3xg5g0wq3hhdh36xdJVXq8i\nS9WtbQWrK615AK4BcAuA/wHgL8WfhhBCRhNCLhP/Xw5gLtL9ud4E8Nfi25YA+Dfx/23i7xD//gZN\nB9zaADQRQkKi8nAKgA8sjpuRI14++VrZt9mKSHqi3bTvKDa+1ilXXHj8rtn46Z5O3P/Ch+nVhc4+\njDrhluoEa4bek/+K1g50dUddrUNXSlUVrGDkDSj3c6ardKPr0D+YysvKfqh7ESwZLUrpCb1/WTYb\nB+BNQsghAL8F8LqYjLwGwCpCSBfSMaunxPc/BWCU+PoqXBJgHAHwSwD/CWAPgAfMlIOM0sPMFWW1\neriUYzRt7auoLAug7eAZ3Urid8wYh5bG6VnLFg0ljJ78pS68WoPkdMWUz9yjfGCU3zSQEkyNut51\n2LKoFs++dzwvLsOh7p70zA9CKT0EIKOQLqX0GNLxLe3rgwAWGuzrEQCPuD1GRuHJ5ooybWth4L7p\n6u6XeywBACgwdkRI1RBy7IiQTtmi0p1gzTC7ToBxHTq7IpliEVK4iZ5AJZtR17sO5QEOW9/oMtzG\nTYaam1aL/ZLHDIaLZHsqNHM56T3RPrqwBr85dgEP3T4ND790ON0ypT+OTd+qxT9841q5aO/ujjP4\n6Z5OrL9zhq2+Rrngdi8zq+hdpw0LavDYm+lJVLvCzGXFVExCCq+w4gbVXoeBpJC3lf1Qc9NqsZRc\nXGqwPK3SwUqn32xtKOSAs1hsVRCApTsyW6Z0rptn2O1YLzfM7dYnPdG4pr19LUZFQpYSXnMdh1Hu\nkdVE4lJfMbmJE6FKPmXwbh4rz/eBO8nFpQgzWqWDpV4/Nr84kiF8efkNaGk7Iu9778obVb9Lx9rW\nXJeR/Kn3xX/irtnwcRzCIftf4P7BFJbu0DnP5npUlOU354fnBcSS6YTXqFhJ3UmfqeGM02ob+TIA\nbj3o5DnfzNV+WgyGJ1hxRdlxOSnztrSVyB97swsbFtSoA+RNtXjm3eOGykTJbTm6MoS+eNrwOFFk\nGaoVQ/nN+REEit7YpT5fy3ZY7zPFuIT2ngSQ1fVbaq7TYhV0DK2EFEbJ4WbwXpu3pW2Z0nbwDKpH\nR+SVlbbbrjJXSxvMfuDmajy465DjvK6YQcHVWJw3XWm5HVQ3a70RCRb/ROoEr1c4xVYBw63xFKug\ng620GAXHrSdQbd5WwEcyWqYsmnNlenImBJGQ31DRpQ1mO21QKQgU/YMphEN+PLG4TtXZ95++OTPd\n8NDsnAyC6tF4Crwg2BZ0GE9E/iGVyyORj5ylYluRuDWeYhV0MKPFGDKEgz6MHRHCOw/djM1NtfhS\neRAcAbY31+kqBO0oE6VVm957jZAnTNGleP/zB/Ct6ybhv/7hdqy/cwa+VB5Amd8nv1fPvWSk/Hvm\n3eP4/eeDctt7q5Ow0Tl3dfcXhevHbfJhUIptReLWeIo1744ZLYZnZJN4K/8eS6TQP5ibHHwwyeOh\n2/8YD/3qUPqpesd+DCSFtFqQQl7FScctD3DYYtC8UnJbbmuuQ+e6eQj4CDYunGnrC6w3Ya7c2YFP\nz0cxd9OvUR5Uiz70VgPacbQ0TsfG1zqxad9RrHnxEBquHWdrEjaTvxeD68dt8mFQim1F4tZ4nDSN\nzQcspsXwBCtSdenvY0eEsLphWkair90viCAAf/fLg6p4zYO7DmH9nTPg93FyS3fluJbfUo0nF9fp\ntpvguLQLUZLkN84cL7ejH0ikYyROavFVj6lQJeuatWWXDK1yHNp92ZmElUYwHPSjq7sfG1/rRNvB\nM7h+8ihP2r0XEi87FUgUuuGnl+Mpxi4HbKXF8ISsScOKv3/vpksih1xcOEYKvYlVYXlS145r076j\nuO/5A/IkpjVCyqdWqVTUXT9rBwiyGlSjJ95TvTHVJGJlNWDm1rP7FM1xBJGgH73RBFrajuCVw2eL\nxvXjNk5dXHYSwYttRVJs43Gb4jCdjCGH2UQsUCqXVgKAa0ZH5BVMV3c/HnuzC68cPmvbhWP0VH2q\nN4b/v72zj5KiPvP99+numR56Ztw4CK4oBJNBdhfFUVCSk2jURRH3ntEj1wT2IroxkpuYBQ+L17jr\nyc6NGkPwcsFzPCpmjaK7mPXoMXNWI0KieTuGAJEXSXZgfAMuHAZn3DAzzfRMd//uH93V9EtVdVV1\nVXdVz/dzjkemurrqV9Xd9fyel9/3Oas1ipZoxHa4qJJZq/57O9AcjaApEi7Jrdlpd3/Z9DasWTQb\nr7xzxJGxqbXkUrXWLDm5TjvVd/nXASAXhq41fvSQ3IKLi4knGC0afvjmizB/3S9y7UO2/eE4Fl50\nDu5+YXfJw/irV3zG1g9OT3Vi7S2z0RqNoLWpAaGQOOpyXGk33nLvddLufjjb4kKvtYjf8VuJeDFW\nvyN+v44AQkUMUjv0ftBrb5mNH7yeyZ8AmQfB40svxTee/33JA+LJW+c4Kn9Pp1XGOERPyzrlezV+\nfdCMJ9kkJxOHalJOWkzD79cRQCx94XlniSeUhGUSKdz/yr6cwQIyYbkzJjTohutamiK6eoBWzqst\n1tVbtFvrsJgeVr2xejFqfisRL8Zq8Ybfr6NeYSEG8Yz8RcMQ4PjJRMHr2iLZapcL11pOpyDJP5LE\n4MhYQbn74MhYQfl/KpWuq6Z+fikRt7M2Ti9vaPU6aqXubwU/j80IGi1SFcweBH5cwOgVJWuyNu3E\nYCKJSa1RY43DeEaayi+KC5Xih8/cytq4ctV3Vq7Dz12E/Tw2M5jTIlXDKMTld8VsNzHKg3R1zsKC\n9b80VKLXXtcwa6niFLN76vR+u/mZu4lb+ahy1+HnvJcPx8acFvEXRmW4dstz/VpMYQWzBceAscah\n9rqG2wtkze4pAEf3W++YG5Z0ZFrWa1WPIog1hKtuwMzyUUPZdi1WxlDuu6t3nrPPiAIKWSWY2k24\ngpqTY3iQeIoXMXO/CZTawWzBcSQk6Ds5YiiQu2r+DGy5+0q8970b8OStczAh4t7P1+yeOr3feu9b\nuXk3evuGc6GoWuXrjD6Hg8eHXB1D8Xk6L56C1QtmOm5x4yZ+yS3ahUaLeIKmbg4BPh5M4Lm3P8TH\ngwlAMg0RK/mRlpsl+zkmr58H6cCfnxHF7u9ch7P/rKlEDX7tLbMRDQsWz5uGru79mHn/T/H159zt\ng2V2T53OyM28ynzDV4sJiJkGo5tjKD7PqmsvcEX9xQ38kFt0AsODxHV0w0KLO/DC7w6Ztni3ilFJ\n8sHjQ+jq3u/rUKFeyf2ESAgD8bGC+7V+cQe+eXU73jsxjEe29ODBmy7Cys27HffzKodZmbf2b7v6\nfUbH7O0bApAxYM3RSM1CVM3RMJ5aNhexaBgHj5/WYHRzDMWft3bsfGoVkvPj8g8r0NMirqMbFnph\nNxZceI6l2WW5kGK1ZsleUVxyfyqZNlSDX7D+lzh+MmHc+dgl79Js1u10Rm72OQG1W/KgTarueGYn\nOr77Bg71x9HVvb9gDaGVMVgNfed/3n4LydV6+YcT6GkR1ylXbKD9rTe7tFJkUTxD9GqWbIab1W9m\n90szEPGEt95luVm3kxl5KCRoizXkOkUPjSTxzG8+KBHorbZCerGq/rqtB7D2ltklXQbMxuC0GMhv\nivBBhCXvpCx2H9Dlyrq1v/VCW3bLcGtRtutEK9Dsvhlew7K5gCD3QCs+55pFswvaivihjDofvTYw\nt3/h/JI2MNUuf9eTabqpYwoevOmijPxXBd/x/M/M6P21Lvf3MZZuAsODxBQnCxD1wkIbFndgy7vH\nyoaXnKqwVzOZbKV4wM59M7yGxnAuZFO84FVrBmnHu7TTlLP4dSdVoFbbwFQ7RKUXojt+MlMkZHUM\nRt/TCY3hsr+RIIbk/AQ9LWKKU0+meDY5IRLCqWTaudfhkQq7E6wIqprNxPU0Ee1cg9N7ZLUpp2vr\ntCwKz1YbN9b5lYsm+NHzDQD0tEjlOC13Lp5NhrOdg8vNLp14TpXMXPU8iHJehZVkuuF9i4Z1Z+B2\nrsHJPbLTlNO1dVo+KzrQcKNJYrkikyAs0rWCH7UJOQ0ghqTTCsOjSRx4aCHiiRT+dGoUa17vwYnB\nhGdt2atZhqs3435i6aUYTaULenIVz8KtJNONyr0P9Z9uSOkUJ/eo3OSj3OuO1mn5uOig0iaJxZ/B\nof54QbjWbcWSWuBX5Rl6WlXEj7MWI7SGiss37coJuyoAD9w4Cz+8ba6ragzFVCvmr+dBfBIfw4rs\neigjr8LKTD3zwO4omYmv33bA0Qy8+LsDwNY9Kuf1mL3u1GOq97bvOcOngOZoBCcGE4FapFsOvyrP\nMKdVJfw6azHCBGm14wAAIABJREFUrPMwkPmR+nXsVtHLubz3vRsw83538jDx0ST6TiYwtS2G3r4h\nPPZmL04MJgxzHWbispV+d2qR0xpP1GNFYA1ykhTM9RPFa0PcVjRwG6Nw0dS2GABg6Q+3+3bsVtEL\n4R0eiDtSf9CjKRJGczSCpT/cXjY8ZmY03PjulAsperFOazxRabjRj1hthlltGB6sEkFTVDYTdu3t\nG8qNPUghz2L0kulnxhpKwnpOQz1WwmPa/YuPloZiNm//CMOjSde+O+XCrmav54fCAGQ0JAP2eRN7\n+FWbsD6mBAHAr7MWI7ScTH5BQka4NYR1Ww9kxp5I4VTWCwhi2MjIuwDgmldhNgPP966e/9q8AsPU\nefEU3HTJeVi+aRe6Omf54rsTtBA3qQy/ahPS06oStZq1OPWEMl/YKJ5alvUSls1FQziEh177I04M\nJvDokksQCsHQOwiK56XnXdSiEKS3b6jAs73r6nbc+1JGDfyxN3uxZtHsEmX4as94R5IpDCeSeP5r\n8/DqiiswqTXqi8Q88Q4/LoT23xS/TnFr1mIn4VvpzDgUktxC2FhjGBBg3Vc6TnskAkPvgDPx8uSH\n/TTDdO9Le3O6g9prWhl1V+cszDi7BYf642iu8gMknVYYTiRx38v7CmSk1m3t8STEXY+FDcQd6GlV\nkUpnLXYlldwsWdUbe3HeK9878FOJrF/Jv3/de47ikTd68PDNF2XWxY0Wqp937zmKru79OHh8CPPX\n/QJNVfayMt+lwqUA9760F3fPv8D1xcJOpMPI+IFGK0DYNUJeF38Uhzw/O6kZXZ2z8N73bsCWu69E\n58VTXDtfkAs+jCi+fycGE2jW1v00RgwVF2qhKmH0XZo2MeZ6mLLa64Pq8btVzzA8GCDsGiG94o8V\n17RjOJFEczTiSpGBFvKc0BBC//Aourr3F4SP2ic1GxYMWA0B1WsBgKUy82yTwkP9cazb2pPLJ1Y7\nn2VYSJRI6WopVkI1K23r9btVz9DTChB2lQlKWn3Pn4HFl087rXLhQthFCxueGkvnOuvmh49u/8L5\npuuS7nx2J1b9eDc+HsyobA+N6Gj9+XRlvhuULTNvynheZ7VGse4rHTVTlTBTonebamoW1vN3q16h\nIkaAcDIrzPdmhhNJLN+0y5PeU3ZXz2uKG5Nao1h93cxcAYLeNaXSafT2DaN9cktOWeK1fcc8Vwtn\nMUAh1bof1fR+/KpEP06prSKGiEwFsAnAnwNIA9iolNogIm0AfgxgOoAPAXxZKfWJiAiADQBuABAH\ncLtS6vfZY90G4P7soR9USj3r1bj9TLlwktFDRTNIzdGIZ2EXu+vQtBDQqyuuyBVvAKVqD9oDzE7Y\n0Q0YNiqlWqoP1VwfFLT1k8Tb8GASwD8opf4SwOcA3CUifwXg2wB+ppSaAeBn2b8BYCGAGdn/lgN4\nHACyRu6fAcwDcDmAfxaRMz0ct68xCidZqbjyMuxidx2aNpb80m6NfEMaH0vZCju6BcNGtaVa64P8\nqvpAjPFsKqGUOgbgWPbfgyLyRwDnArgRwFXZ3Z4F8BaAe7PbN6lMvPK3IvIpETknu+9WpdQAAIjI\nVgDXA9js1diDiBV9ukpaRZQLDdmdHWtjKaf1Z5SUb2mKeBq+CZrsFnGGX1UfiDFV8X9FZDqASwBs\nB3B21qBBKXVMRCZndzsXwOG8tx3JbjPaTvKw8pB1+gO1GiqzEz7SxtIcLZWLyjektQrfuHFe5sSC\nQT2K3dYznlcPikgLgJcA3K2UOmm2q842ZbK9+DzLRWSniOw8ceKEs8EGGKuhPydhF69CZaGQINYY\nychFGYjK1ip8U+l5U6k0hhJJTGgI4+DxITz9q/e5QJYQF/B0WiEiDcgYrH9VSr2c3XxcRM7Jelnn\nAOjLbj8CYGre288DcDS7/aqi7W8Vn0sptRHARiBTPejiZQQCL7vEeh0qM5vphkKCtlgDNi6bg+Zo\nBMOJZEUei1Xvp5KwUTqt0B8fxco873HNotnYvP0jfPWKz3A2T0gFeOZpZasB/wXAH5VS6/Je6gZw\nW/bftwH4Sd72ZZLhcwD+lA0jbgFwnYicmS3AuC67jeThZZdYNwo4nKoOpNMKA/Gx3Nqy5Zt2YSA+\nlnu/2XGLX0ul0rbkgZwWAxgVjyy48BzmxAipEC/Dg18AcCuAa0Rkd/a/GwB8H8C1InIQwLXZvwHg\nNQDvA+gF8BSAbwJAtgDjAQA7sv99VyvKIIV4VXFVaaisEi05s9Ck2XH1XhvW6VnlRUWgkWfaPrml\n6vJLQYFSSsQqXlYP/hrGi8X+Wmd/BeAug2M9DeBp90ZH7OAkVFawqHk0ic3bP3LUedcsNJnfOLH4\nuABKXiu3Ts2twgmjIo7hRJKhQR24Jo7YgTJOxBJ2vLhiL2f5pl246ZLz0HnxlNw+VnNiZqFJM4Om\n91pxz6r8Y7mpLK7nmW5Y0oHmRlYP6sE1ccQONFrEdfQeQve+tBd3Xd2e26dcTkwLF01oCGHDkg7d\n0KSZQdN7bcu7x4yPZfDgHEmmbIet8otHDjy0EBuXzcHEWCPCYf7c9OCaOGIHxiqIJeyEzoweQjMm\nt2DL3VeifXILhhNJTIjoP8SLw0UrrmnHk7fOQUtToTJ9uYrJ4teWzPs02mINumFOvTGffUYUw4lk\nyRqycmErrXiE4S5rUEqJ2IGCuXWA14tYU6k0hkdTaI5G0Ns3hC3vHsOSeZ82fAhrYrjFwrxP3DoH\n//O58l2Njd6vlwMzu3Y790XvnG+tvgr3vbzPtsCwnfFXE78udmZOi2Sx9GEzXhFwvO7yqq05+vpz\nuzDz/p+iq3s/brrkPGze/pFx80mdnM76xR149jcfWMpbuBUuKs7DATAM9emNedrEmKNx+DHc5edu\nwF4u1yD1B41WwPE6ie1kzVHxQ+jJW+fgrJZGPPrz3oL9dnw4gAkNoRJDYnVdWOZBnCh6ECd0H8Tl\nHtp6D854wtn6tGr2g7KK34sdqiWQS4IPjVbA8XpW73TNUU7lQgGJZAqHB06VPMhXXNOua0gmREKW\n1oVlSt53Fz2Id+uOy8pDu/jBGWt0tj7Nj8rhfvT+CHECs5wBx+skdqVrjjLGYjcmtUaxZtHsXLPH\nFde04+++eH5BU8rcOqtlczGhIYwf3T4XyTQQi2YaWGbyr6dn4LGowYM4WvogdvrQbo6Gcy3v44lM\nPqicF1C8rm04kczkkcZSmBAJ4VQy7UpeyU6Oqp6LHfyaqyPeQE8r4Hg9q690zZFmLLr3HMUjb/Sg\nq3MW/vOB67F43jTEGvUX+05oDOPOTTtxciSJp3/9fm6tV//wKFKpdG5fw/BdIlWSszLbVw8tnHjH\nMzvR8d038D+e2o5TNkJpWnVj/9Aolm/ahZn3v54TzS0OZ8ZHzUvp9dQi7Oao/Oj9uYGfc3XEG1g9\nWAd4PdOs5PhmVXldnbPQ1b2/pMquq3MWFqz/ZcG/tdc2LpuD1qYGAEB8NImB4VHc8+LeXNXZ2ltm\n45EtPTh+MlFQgWa0b1tzI2KNpZ6GGxWAxcfYcveVutf78M0XoTka0S0+MKqsa46Gcccz9sZXjx6J\nXys1iSNYPThe8DqJXcnxzaryHnuzF2sWzS54bc2i2XjszUzBhpY709jx4QCa8x5ETZEwWqMRPHzz\nRTjw0EI8fPNF+MHrPXhl99GSnFVTQxiPbMl4ej0PLkRX5yw8sqUHTQaehhs5oOJjGHVpntoWMyyK\nMMrFpdOwPb56LHZgrm78wakIKcHNGXlxa5GTp8ZwYjCBy6a3oXvPUQBAV+cstE9uweDIGL7zk/25\n7ZdNb0Nv31DuWFouTfO0QiFBa1NDTmli/rpfIJkXFsp/eMVHUzh+MpHz2oDMjFwvp5NOKwyPJtHz\n4EL09g3hsTd70b3nqO0c0MhYCttWfQlT22Lo7RvC0f86pZtX6u0bMnzQGj6Uo+G6zVHZoZ5zdUQf\nelrjjHJq2m7nCIpbi3zj+d+jKRLChsUZOaXX9h1DV/d+DAwnIABODCZO584Wd2DLu8cK/i7OwWje\nQ7kyc6s5He36M3mozLq01dfNxKr5M/Dokg6EBJbuRTqtMJxI4r6X9+WOM6GxVJJK8yyNSuINryuR\nqssclV3qNVdHjGFOaxxhRXnA7RyB0fHWL+5AU0MYLdEIDg/EcWasAS3RyOnKukQKDSFgNK0Kmj8a\n6feVuzZt/ZdWBRgKZcKLVtU4Hl96Kbq695fkyuxe97/cNhdplal8PNQfx/ptB0yPaXZdAOouR+WE\neszVjVMsfWj0n32KFz/E/PwIkCkx37z9I/zdF89Hc9ZbmdAQcjVHYBTemtQaxd0v7M6FAvMNYzqt\ncGoshTuLiw90CiY0zNqnGD34myLWw3GtTQ14ZXdmrFbaqhgdp6kxjJBkxnRWaxTrvtJRUQdlo47P\n4wmzztek/mB40Id4VcZb/CDtvHgKbrrkvFzoTjvPimvaC95XiZpDfnir8+Ip2HL3leh5cCFOnhor\n2O/sM6KAAtJKFfTfsqPeYFRoYEcNwigcl59bs2LEteNo1/ze927AtlVfwkj2nHaKIuqxgIIQp3Ba\n4kP0PCKrTRNNj1uUtL7r6nbc+9LegvOs3LwbT946B2+/P1CinO7E+9NyDpu3f4RFc6Zi9Yt7csd9\n5JaLc/utXjATd27amXttzaLZ6D0xnPPEvPD2dAsfdJTj194yGz94vSe3j5VEf6whjCeWXorBRLKg\nzP7RJR26YUlCiDVotHyIUZsMzRNxGi6cEMkUAqzMttowKsFuiUZKWoEAcKTErYW39NQvVr+4B+sX\nd+DUaAr3vFhoPO99aS+6OmcVVBI6qQizWwlYEo5LpJBKp3MFIsXtT8yuOxwKlVzXis27uYaIkArg\nL8eHFHtEnRdPKfFErPZ10jyjkbEUhhNJvLD9UK7EPD6a1C0XPtg3hK7u/QU5puHRJNqaG9HVOSv3\n4Lfq/YVCYtjqflJrFEopQ31DO4ZC7/r7h0exeftHWHDhOWif3IIHbrwQCy88G3OnTzQ8XkGOpClz\n/UY5JTMMZaa4hogQx9Bo+Yh8I/PkrXPwzG8+wKM/78Wqay/QmbGbG4z84oOzz4iiq3NWTlx23baD\nAIBV82cUeF5aWO6RN3pyD1e9IoY1i2YDAF7bd8zSAzhfub3YQB7qj2NiS6PBWpskDjy00LFnGR9L\nYfP2j3DTJeflNA8vm96GDUs60BZrsHw8p4l+riEixH1YiOETiosvvv7cLiyeNw09D17vqK+Tlheb\n1BrFqmtnorWpoeQYj/68FxObG/H40ktPq0S80VMQPtMrYrj3pb246+r2sgUa6bTC0EgSECClFJ5Y\nemnJGqX12w6gORrRXWvT3FhZ8UGsMYwFF56Ty9tp41+5eTdOJdPlD1BEKpXG4MgY0kphcGSsQAdR\n9/xcQ0SI63C65xP0ii9WZvMfAGzP2LW82Ksrrsjlh/SOcXjgFNZtPYDV181EV/d+7PhwoPDhKvpy\nQe2TW0wfwHoe2oYlHVi/uANntUTR2zeER97owYnBBOKjKdOybruk0wojyRRSaWWYt7Mbokul0ugf\nHsXKF057pRsWd2Bic6Ph2rFy5eqEEPvQ0/IJZhVuTmbsWmhKe2jr6fw9uqQD67cdKFBg73lwIZ5a\nNjdPaNZIaSJpmlPT89BWbt6NpoYwlv5wO/7m0V/hxGAidx1ulXWn0xkvaGB4FD/69QcYGkm60pAx\nPpbCyhcKe3etfGG34zJ8Qogz6Gn5hHL5D7MZu57ag9ZI8fBAHCuuaceCC8/BuWdOwONLL80oT4yl\nEA4Jjp9MAAC69xxF956juUW+2rH1SsBzoTsd9QYtJ2dkhFuyArfTJsYsex62+kaNpfBJfAz3vbwP\nb7/fjzMmNGD94g7cnechOQnRGRWSNOt4ulRoIMQ7KOPkE6xILBm/L4EVecUUa2+ZjdZoBC3RCMZS\naZwcSeqGtQBgeDSF5mgEvX1D2PLuMSyZ9+mSc1p5CBePf9uqL+UMh0a5Nhx27wtQKmMEAZQCZt7/\n05x4bufFU3DX1e2YcXaLYyMyODJWULKvXU9+q5Ry46XhIsQUSz8QGi0PsTvjdjJDN9K4e/jmi3BW\naxQA9LUEl83FqWwILz/nNDFmnKOxM47Oi6fgf10/s2RhbXM0YmtxraGG3+1zMZxIlXqA0TD6TiZ0\nDWa58nyz+281p8X+ToQ4htqDtcTJjNtJabVRGG5qWwwip/8ufj0WDWNCY7hg3ZVW+NHiwGgVj6N7\nz1GEBKdb1Tv0cIyuL52GvmrIsrk4M9aAtbfMLjGYZiHBcp9XOBzCxObGXIsVIwFf9ncixFtYiOER\ndvTuKjqPQaHE4YF4pmTd4PVD/fGC1hudF0+p6OGqd57jJxOAoKIiBKPxGy7cjYbR2tSAtuZGPLVs\nLnoevB4bl83BxJYo4mMpQ/1GK59XOBxCa1MDQlLYx8vKeJ1qNxJCCqHR8givZtzF/bAyBReFPZrW\n3jIbZ8YaEGvQrzxce8tsrNt6wPa6K9PrdWFNkl6vL6PjxhPGxiEUEsQaI4g1hjEwPFYiCKxnuNz6\nvLg2ixBvYU7LI7zIbRiFsNpiDTg1ljbsFVWQq0mkcP8r+3JtNgAgEhL0PLgQA8OjFRUMVFI1Z7vg\nAuW1EO18Bm5+XqweJMQRln4k9LQ8wosZt1EI61QyjZam7Fqgpghi2b5TmtcSH8s+OEUAQa7MXUNb\nd2VH2kiPStYkmYXn9I6bv3D3wEML8dRtc0sMrhN1dzc+L67NIsQ7WIjhEV6oIVh5CGtqEMOJZEEZ\nvOaF6K27WrNoNn706w90y92dYtfbcBKeK1e4Ykf7j+oVhAQDeloe4vaMu1ySXwux9Z1M5MRx9bwW\nrQouX29w3baDpoUievkmIzRVio8HE1AK+HgwkdHsM3mP0wIGs3HZ9Z7oIRHif+hpBQgjdQrtIayF\n2J7/2jxTr0VrFXLBP51egFu8Tz52y/dHkikMJpK47+V9BQueGyKhXOhS79qeWHopPomPYWpbDIcH\n4rliEiPKjYveEyH1Bz2tAFEuj6OF2Hr7hsp6LXY8G7vl++k0cq1UtP3veXEv0mWE1UdTadz38j7M\nvP+nuO/lfRgto6JuZVz0ngipL2i0AobZQziXw3nvY6xf3GEaFisOna2aPwNP3joHscZwaZjNZr7J\nbA2VERkDVBzSNBek5UJeQsYfDA/WEVqIbTCRxI9/d7pD8XAiiebGwrBYvtc2oSGE/uFRfP25Xbph\nNrvNDLU1VCX7J1JoaTJvpZJP2Z5hPmmyyBJ3QqoHPa06IhQShEMh3PPiXqzbdhAL1v8Sn/3H1/D1\n53bpNj3UvLZTY2msNCjcAOwXNMQawyULnh9d0mHJAOVTrhDDDwt5i5t3mi1gJoRUDhcX1xlppUoK\nLCIhwYGHFmbWaTl8j9fiv5Wo3NfSy6FALiGuQcHc8YiTkJmV99gV83Wyv5NKv/zzxBrCVTdgzKsR\nUl0YHqwznITMnLzHzrotq1RS6VerMB0FcgmpLp6FB0XkaQD/DUCfUurC7LY2AD8GMB3AhwC+rJT6\nREQEwAYANwCIA7hdKfX77HtuA3B/9rAPKqWeLXfu8RweBJyFzOy8x0+NDvPHfag/jnVbD6B7T0ZX\nsRphOj/dC0ICTm2bQIrIlQCGAGzKM1o/ADCglPq+iHwbwJlKqXtF5AYAf4+M0ZoHYINSal7WyO0E\nMBeAArALwByl1Cdm5x7vRstr/JLH0TMYaxbNxiNv9KB7z9GyuTw3x8HqQUIqpraCuUqpXwIYKNp8\nIwDNU3oWwE152zepDL8F8CkROQfAAgBblVIDWUO1FcD1Xo15vOE0xOeXPI7e4mKtzQpQvTAdFzAT\nUj2qXYhxtlLqGAAopY6JyOTs9nMBHM7b70h2m9H2EkRkOYDlADBt2jSXh11/WAlrGXkQI2MpbFv1\nJUxti6G3bwiPvdmLE4OJqq+PMjKe7ZNb2MeKkDrFL9WDelNTZbK9dKNSGwFsBDLhQfeGVp/keylA\nXrv6bIjPrHfXsI6uYGs0UnUDYVT1eGo0lalCrDBMx7AfIf6j2tWDx7NhP2T/35fdfgTA1Lz9zgNw\n1GQ7qZByIT4zXb8Vm3djUmsUr664As9/bR6SKYWGcMjTB7qdrsaxxnDFYTqr1YheVFESQoypttHq\nBnBb9t+3AfhJ3vZlkuFzAP6UDSNuAXCdiJwpImcCuC67rSoE6YGkN1az8Zcr1TYyas3RCM4+I4rV\n181EV/f+nLjt8Kh398fIgAAoEBDeuGwO2pobEB9LVTwWK2K8VMOoL4L0ex/PeGa0RGQzgLcBzBSR\nIyJyB4DvA7hWRA4CuDb7NwC8BuB9AL0AngLwTQBQSg0AeADAjux/381u85wgPZD0xjo4Mob+4YTh\n+MutzTIyasOJJO6efwHufWmvLXHbSijX1TjWEEb/0CiWb9qFmfe/7spnZaXYxK76PfEvQfq9j3co\n42SAX8q6raA31rdWX4X7Xt5nOn6znI1ZTktCYlsqqhLSSmHVj3fjG1e1o31yC3r7hvD4W71Y95UO\nhEQ8+aysHNOJZBbxJ0H6vdcxlHGqhErLuquZxNcb69S2WNnxm0ktmckqDY0kq6quPjKWwuoFM3HP\ni3sLij9GxlKINUY8KcEv13AT8I/KPKkcvyzjIOWhjJMBlcjzVDvUoDfWwwPxiuWFjNYfZVTcq6eu\nXq6ppBdSSuUabgL+UJkn7kA5ruDA8KABlcjzVDvUoDfWJ5ZeitFUGis27/ZEXqianmS5MFwtpZRY\nFl8fUI7LF9RWxqmWuCXj5PSB5Fauw64eYPG+AOrigWopv0TjQSqE36GaU1sZp3rAqTyPG6EGuyFG\nvbF6JS9U7dJgK2E4SimRSuF3KBjQ0/IAN0INfq1mqlUYhbNgQuoeVg/WCqcNDfPxazVTOfknr7Db\nVJIQUp8wPOgRlYYa/FrN5FdjSggZH9Bo+RQ/lFPr5a78akytUC4X52aurprnImQ8wZyWj6llHsdM\nEWMgPha40uByuTg3c3XVPBchdQRL3olzzApBYg3hwBVFlCtscbPwpZrnIqSOYCEGcY5Z7krL0wHB\nKYool4tzM1dXzXMRMt5gTovoUsvclRf5nnLXY+d6y43PzXMRQgqh0SK6VFoI4tTweKXbWO56rF6v\nlfG5dS5CSCnMaRFDHMtY+VS3sdz1WLleq+Nz41yEjDMo40Qqw7GMVQXNEb3M95S7HivXa3V8bpyL\nEFIKjRZxnUoMj9/zPX4fHyH1Do0WMcVJbqqSB7vf8j3F1z8hEvLV+AgZbzCnRQxxmpuy+j6jvI5f\n8j1mC6xPJdM1Hx8hdQYXF5PKsFMUUWxoJkRCpg/2IKhCcBEwIVWFhRjEGCthP6u5Kb0y8IH4WMZQ\nGRQaVFKsUS24CJgQ/0GjNQ6xuhbKam7KiQEKgkFg0QUh/oNGaxxi1chYLYpwYoCCYBD8VhRCCKH2\n4LjEzlojK80sNQOUn/vRDJBR7kczCMU5LT8ZBDeaeRJC3IVGaxxix8hY6RjsxAAFxSCwYzIh/oLV\ng+MQLyr3/FKmTggJLCx5J8bQyBBCfAb7aRFjGPYihAQRVg8SQggJDDRahBBCAgONFiGEkMBAo0UI\nISQw0GgRQggJDDRahBBCAgONFiGEkMBAo0UIISQw0GgRQggJDDRahBBCAgONFiGEkMBAo0UIISQw\nBMZoicj1ItIjIr0i8u1aj4cQN0mnFYYSSaRV9v/p+uu+QIgbBELeW0TCAB4DcC2AIwB2iEi3UuoP\ntR0ZIZXjRX8zQuqVoHhalwPoVUq9r5QaBfACgBtrPCZCXCE+lsKKze/g7ff7kUwrvP1+P1Zsfgfx\nsVSth0aI7wiK0ToXwOG8v49ktxESeGKNYez4cKBg244PBxBrDNdoRIT4l6AYLb0YSUHQX0SWi8hO\nEdl54sSJKg2LkMqJj6Zw2fS2gm2XTW9DfJSeFiHFBMVoHQEwNe/v8wAczd9BKbVRKTVXKTV30qRJ\nVR0cIZUQawjj0SWX4POfmYhISPD5z0zEo0suQayBnhYhxQSiEAPADgAzROR8AP8PwGIAf1vbIRHi\nDqGQYGJzI566bS5ijWHER1OINYRZhEGIDoEwWkqppIh8C8AWAGEATyul9td4WIS4RigkaIlmfo7a\n/wkhpQTm16GUeg3Aa7UeByGEkNoRlJwWIYQQQqNFCCEkONBoEUIICQw0WoQQQgIDjRYhhJDAQKNF\nCCEkMNBoEUIICQw0WoQQQgIDjRYhhJDAQKNFCCEkMNBoEUIICQyilCq/V8AQkRMAPqr1OALGWQA+\nrvUg6gDex8rhPaycIN7Dj5VS15fbqS6NFrGPiOxUSs2t9TiCDu9j5fAeVk4930OGBwkhhAQGGi1C\nCCGBgUaLaGys9QDqBN7HyuE9rJy6vYfMaRFCCAkM9LQIIYQEBhqtcYaIXC8iPSLSKyLf1nl9lYj8\nQUT2isjPROTTtRinnyl3D/P2++8iokSkLqu4KsHKPRSRL2e/i/tF5N+qPcYgYOH3PE1E3hSRd7K/\n6RtqMU43YXhwHCEiYQAHAFwL4AiAHQCWKKX+kLfP1QC2K6XiIvINAFcppb5SkwH7ECv3MLtfK4BX\nATQC+JZSame1x+pXLH4PZwD4dwDXKKU+EZHJSqm+mgzYp1i8jxsBvKOUelxE/grAa0qp6bUYr1vQ\n0xpfXA6gVyn1vlJqFMALAG7M30Ep9aZSKp7987cAzqvyGP1O2XuY5QEAPwAwUs3BBQQr9/BOAI8p\npT4BABosXazcRwXgjOy//wzA0SqOzxNotMYX5wI4nPf3kew2I+4A8FNPRxQ8yt5DEbkEwFSl1H9U\nc2ABwsr38AIAF4jIb0TktyJSVilhHGLlPnYBWCoiRwC8BuDvqzM074jUegCkqojONt34sIgsBTAX\nwJc8HVHwML2HIhIC8H8B3F6tAQUQK9/DCIAZAK5Cxtv/lYhcqJT6L4/HFiSs3MclAJ5RSv0fEfk8\ngOey9zFHJreUAAAC1UlEQVTt/fC8gZ7W+OIIgKl5f58HnXCBiMwH8E8AOpVSiSqNLSiUu4etAC4E\n8JaIfAjgcwC6WYxRgJXv4REAP1FKjSmlPgDQg4wRI6exch/vQCY3CKXU2wCakNElDCw0WuOLHQBm\niMj5ItIIYDGA7vwdsqGtJ5ExWMwjlGJ6D5VSf1JKnaWUmp5NeP8WmXvJQozTlP0eAngFwNUAICJn\nIRMufL+qo/Q/Vu7jIQB/DQAi8pfIGK0TVR2ly9BojSOUUkkA3wKwBcAfAfy7Umq/iHxXRDqzu60F\n0ALgRRHZLSLFP4JxjcV7SEyweA+3AOgXkT8AeBPAPUqp/tqM2J9YvI//AOBOEdkDYDOA21XAS8ZZ\n8k4IISQw0NMihBASGGi0CCGEBAYaLUIIIYGBRosQQkhgoNEihBASGGi0CKkRIvIpEflmrcdBSJCg\n0SKkdnwKAI0WITag0SKkdnwfwGezi7jXisg9IrIj2/fofwOAiEwXkf8UkR+KyLsi8q8iMj8rJHtQ\nRC7P7tclIs+JyM+z2++s6ZUR4hE0WoTUjm8DeE8p1QFgKzLaepcD6AAwR0SuzO7XDmADgNkA/gLA\n3wL4IoDVAP4x73izAfwNgM8D+I6ITKnGRRBSTWi0CPEH12X/ewfA75ExTppA7AdKqX1ZZe79AH6W\nleLZB2B63jF+opQ6pZT6GBnpo8urNXhCqgVbkxDiDwTAw0qpJws2ikwHkK+0n877O43C33CxJhs1\n2kjdQU+LkNoxiEwrEyAjevpVEWkBABE5V0Qm2zzejSLSJCITkelDtcO1kRLiE+hpEVIjlFL92YKK\nd5HpEP1vAN4WEQAYArAUQMrGIX8H4FUA0wA8oJQKfGt1QoqhyjshdYCIdAEYUko9UuuxEOIlDA8S\nQggJDPS0CCGEBAZ6WoQQQgIDjRYhhJDAQKNFCCEkMNBoEUIICQw0WoQQQgIDjRYhhJDA8P8BkudL\nDi/AAHoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f78ebe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PxxAN+fPk42Ig65jejHXzWtHzzlEcODaAWoNAV0zdkl5bEyUode8+grt+ux9dHVOw/7Zr\n8eDSrJTdbi8wM0o96zFr31JJeD3T2gjgec75ZwFMB/B7AD8E8DvO+SQAv5N/B4BrAUyS/60EcC8A\nMMYaAPwEwGwAlwD4iRLoCIIY2fj9PpwbDefUN0VDw8XAq65qwdNvH8bCGePU2qxHXn1frZtyo25J\nb93qyB8G1aDUvfsI5t/9b1jy9zuynY19TLdg+b4lM2VpvHUQKsesx26n6HLjmXqQMTYKwG4AF3Dh\nRRhj+wFcyTk/yhgbC+BlznkrY+x++f9bxO2Uf5zzm+THc7bTg9SDBDGyEVV0B44NqPVKCmvnTsKN\nl03Ubf9htT+rdiEd05vx4698DkMpKU/s0RgNq88T9zmUyiCWSGsMe42FGeVoUVIBbVHKbph7AYAT\nAB5hjL3NGPt7xlgUQBPn/CgAyD/HyNufB+Aj4fmH5ceMHicI4gxFUdEZiTU2vdiHqI7prF7KzWpW\no501rb16Mr7361787fPDacE7rpuWfT0hAInGtxKHjmGvceqtHLMeu52iy42X4TMAYCaA73HOdzDG\nNmI4FaiHXpTlJo/nPpmxlcimFTFhwgTnoyUIwnPc7vsUCWbFFxef35AzQ1DWj8QZglELj9qgX13L\nAaAGFGWGIdo8KUHjzQ/6kZY4uncfASB0QTYap4MgpARWO8fkJtrjrNS6Ly9nWocBHOac75B//wdk\ng9gxOS0I+edxYfvxwvPHAThi8ngOnPMHOOftnPP20aNHu3ogBEEUjxfrNMr6kR0zWiOhgR21oThr\nMhNZiDO5eDKNgaE0MpLkSBwST2Xwy9fez1Mlblzc5vmsx6wtSqXgWdDinP8PgI8YY63yQ18E8J8A\nugEoCsBlAP5J/n83gKWyivCPAXwqpw97AMxjjJ0jCzDmyY8RBFFGnKrbvFCnSRLHJ4MpbN1xSE3V\n3X/DLDREgnkXXKPZjpkDvB5GabTagE8Nymt/04v+WBIPv5rt7/XIq/lByCj1Fgn5senFvhxVYlfH\nlGq2Z3IVr1fXvgfgV4yxEICDAG5ENlA+wRj7NoBDAK6Xt30WwAIAfQDi8rbgnPczxv4awJvydj/l\nnOd+8giCKCmFdMv1Yp1GDIQbth8AIIgH/Ln35MoMSZty88kO8NpjMZrVGKXRxLH0rLkCN2/bg66O\nKaqjR9+JGLo6phia2iqpU/DsuLp3H1HTj8OCCCqt9TRocc57AbTr/OmLOttyAKsM9vMwgIfdHR1B\nEIUiXqCB/HUg3ecYBI1i1mmsAqG4huZjwKbFbXkKvpqAHzUBPx5c1o7aoA/xZMZSdahnpySORezv\npTymBCE9A1/xJqBpVBh3Xn+RRplYeYKIcnFmmFURBOEqhcyalLSa3RmNHcwCYSToz5sN3rdkZrZN\nSThfaKDdXmw/Irq6GwlJxLEo/b2Un0aBWpxdiTcBEgfuuG4aJjRGKlYQUS5orkkQhGMKcXyw02zR\nKWYybb01tO88/la2AFhHaCBuv2DaWCycMQ6/fO191WljMJXByVjCljT+3pf7cOf1F6HnnaOGa1mi\nMKVWcxPQvfsI5m74VwCoWEFEuaDWJARBOKaQNS0vx6LbKJJzR721xO171lyBnneO5rRF2b72T3Hr\nU3tNi2+1BcWSBNSG9FOOYjGv2NDRzr5H6OyLWpMQBOENlVTTo7e+BDhfQxO3bxlTB2jaooxviODN\nD/pzugT3HR9AbXA4YSWORezfVV+T3z5ETLHe81Iffv71i3L6homp00q6SSg3FLQIgigIo2BRKThd\nQxO37zs+kOe00Xd8AJ1zWnSbUp4r2DfZRQySikrQaB2rEOHLSIXWtAiCGJE4XUPz+RgaIkE8sHQW\nWsZE8wqC73mpD8sunajOvpR1stUF9urSrsedOJ1ANBwAeP46VrWY2ZaCMytEEwRRVuyuyxiuUzlc\n13EyG5Qkjv54Sp2Z/WJxGzYublM7JJ84nUB9jXt9spykWL0oF6hWzqyjJQiibGQyEk7Gk2oQMFqX\nMVq/aYgEc4KK2+s6SgpudH0Yz3RejpYxdfh4IIEHls5SRRSKe4ZbwcNuUPWiXKBaIfUgQRCeo1g+\n3fTYLsvWF0YtMh5YOgsrN1s/v+Axco61v+nF2qtbNYKI4ZYjegH1viUz4ff5dGu/3KQU6sEyKxRJ\nPUgQRGUQT2VMW9CLF0uj9Rs7LeyLuejGkxmsmTs5RzGYFTz0Gjq+D6UySKUlxJJpAEAk7MfAUBrR\nkB9+v75koNAxei18qRaFIgkxCILwnEjIr7pDiFx8fgOGUpkc9/dDJ+O621k5pZu5yNsx940E/ZjQ\nGMkLjE2jwjkdhwGoTugAkJIkpDISVmzOvu5Nj+3Cybi+e305OhLbxQtDYy+goEUQhOfEkxldd4iN\ni9sgSci5WG544V3ceb2+i4RZk0Kji+5QOpMXKE4PpTAwlBvEfD6W5/jeMb0Z6+a3qgFJG2QkCRgY\nyuDmbfYUhZUcGKpFoUjpQYIgPCcS9GPx7M9gy44PVafzWCKbRmM+lmdh5GPQ9Qg0U9sZXXTFoAgA\no+vDOJ1I5xnSNkZD2bYgguBh7dWT1YAE5NdHRcJ+jA/lz870LvaSxCs6MFSLQpFmWgRBeI4ScL51\n+QWY1FSHwVT2Quj3+3R9DI+dSuh6BJo1KTTyQ9Q2eVx1VUvOzGh0fRixRBpg2ZlQQySo1nbppQvF\nIBNPZPBRv346U/RhVNKCRqlPM8/GUmE1k60UKGgRBFESjAKO9mK5du4k3H/DLERCflvNJRWMLrra\nlJ/odNExvRnr5rXi1qf2qum//ngqO4Oz6FIMZGd350SCOunM3C7DSlpwwwvv5qRICz1WL/DC0NgL\nSPJOEERBFKPU0z63NuDDYFpCbTDb/deqlsvJmADkqOJE41sro1o7ijpJ4hhKZ81xI2E/4gm5f5dY\neyaY8SrehReOjqLfRt3aGYStg6agRRCEY4qRR5s9N57K6NZoFVuLpXVfjyXS6NzSi8f/fDZa15s7\nwbtRu6RXe/byuistXeOLPdYqc4O3NUhKDxIE4ZhiVHB6z92y40PEkmnPhApiajISCqAxGsaDy9ox\naKMvmNk6mhYjab1e6tJqvawQKllS7xYUtAiCcEwxwUX73I7pzVg4YxxWbt6FA8f0a7ncFioogUhR\nC7ohPjALGHrrRdq1NqD4Y61kSb1bUNAiCMIxhXQuNnruqqtaVBcKpa9UqRRsbooPrAKGdsamDZhu\niDIqWVLvFpUjvicIomowMnCtDfgwkEibrqdonyuq+ZS+Ul0dUzCpqa4kazJu2SM5DRhiwFQEKDc9\ntqsoUUa11FoVAwkxCIIoCD0FoF0XdvG5sUTaUyPcUmFk9GvnOIp5rki1+AcaQOpBgiBKR6EX3iq/\n0KoUpagUJPEKWhWjk3G4VYpALu8EQYxYlPSYUofUMqYOfccHUBs0Xzp30gyxkinmONxM6xWa7qyW\nmwcSYhAE4QrxZAadc1qwbl4rurr3oXX9c+jq3mdLcu1EVl7JFHoclWChVC3KQ0oPEgThCk4aPbr5\nmmbpLCOHDD03jnLP8spdFOxmirJAqLiYIAj3sOpJ5fMx1NVYN2p0awzxZBonYwnDQlq9uqnTQ6mc\n5zz8ysGKKcYt52xTkrhlv7JKgYIWQRCWWDktKMHEi4JZozEcP5VA55Zew3SWXrrrk3gq5znzp47F\n6q3G+6h07DS3tNpGOa+PvPp+SWvkCoWEGARBWCIGACC3r1Qk6FcX8JtGhfGLP2vDwFAG4xsi+Kg/\njnMiQdsXPrMUmXYM4xvMbZD06qa0zxFrxPT2UcnYNfO12kY8r30nYmq/s3gyjWio8tYXaaZFEIQl\nZoWz4kVP4kAixXHrU3vRuv453PrUXiQzkq3XsJrNacfQd9zc8knPtUPb+8pqH5WMHeGEnW3E89q9\n+wjm3/1vaF3/HKIVKoihoEUQhCVmtk3iRW/VVS1Yt2235iKp33pe7zWMLrCSxDEwlLvmcs9LfTp9\nrIbTWXqKvHMiQWxa3KY+1vPOUWxc1FbxKTE9jG4kaoM+NR1ox6WjGEuuckDpQYIgLDGybYoE/Tk1\nRk7Sbdp2IdoOw+Jz48kMfvlads3llif34M0P+nHidAJ14QAeXNqe7WOlSSca1U0ByHmsNuCryhox\nbW1Xx/Rm/OhLn0N/LInOLb1oGhVGV8eUvG3WXj0ZQLYYPBL0F2XJVQ4oaBEEYYkSAB5a3p7T7BDI\nDWhKus2qSFa71rJ97Z+q2+o9NxLyY9OLfTlrLn3HB1BfE4Dfl00Y6UnqjQpttY/V+Y33UamI571p\nVBjr5rdiMJnBrU/txej6MNZe3YrN//6BGuiVbW7etidvfUsb3EVLrqZRYayZOxkTGiMYGErnNbgs\nNVSnRRCELcRAI17I4okMaoPmnYcbIsGcWihwYMXmYcun925fgO8/0Yu1V7eqM6nsc9vQGA171hyy\n3BRbm6U8XzmfSlPLZzovVzsyd0xvxi3XtGJUbdC2x6NiyTW6Pox187TviWcuGWTjRBCEeyiL+spd\nvNGF7Fy5waJyIa7x+3BS01b+Vytm54kqjp1K4K7f7ldnUh/1x1UxQLWlsOzghm2SMpOUOMebH/Sr\nM11tmjYjAZGQ/Ro6ZS3smc7L1bYxQK5qtFw3CyTEIAjCFsqFTOx/ZdU3KhLMqgtXa+qpDp2M64oq\nTpxO4EubXsGSv9+BaDiAmoBf3ae271VDJIj+eMq0MNhOHZMehT7PCW7aJqnrW+99jI2L2nJUksr7\n9fHphG3BhbI/Jfh1TG9Gz5or8N7tC9DVMcXST9JLaKZFEIQt9C5kVsa48WQG0XD+Hf6/vnscGxe3\nqbOvE6cTqDcRVQD561MDibRh7VhdOFDwTKZUxrGFNmzUSykqM9FYIo2tbxzC12eNw6bFbejc0ouW\nMXW4ZmoTwkEf7rz+Ity8bU9eelfprqyOTd7f8VND6JzTgoUzxuXMrDcubsO50XBZZrW0pkUQhC0y\nGQkn40nEExl09/635YVMkjjAgAPHBtT1FSCrYPvBNa14atdhzJ86FheOjmIwlQ1uTlJ8Vl55hbZK\ncau3lRWFvI5ZQAUAMKjnRLmpOO/sWqQlCd99/C2Mrg/jlmtaEQr40Cmka+9bMhN+ny/nhoFzjtOJ\nNBhj+E5p/CTJe5AgCHeQJI7+eApbdxxC0M+w/NKJeSnC1Zp6rHgqg0Mn4+h552iOPdDaqyfj5m17\nsGH7AdzzUh+O/GEIKzfvcuz9Z1VfVOhMplQt6wtxdjdLKfp8LOecKIXCD796EKNqg3jzg3507z6C\ngUQm18pqShMSaQkrNuemWQdT2UBXpzNTLqdrCAUtgiAsUS6WG7YfwKU/f8nWhSwS8uPu7e9i4Yxx\nePrtw+jqmIL9t12LCY3DVkpW62NmWF30Cy2aLfR5TtfB9NbprFKQVgFV75wsnv2ZHDNcUaTRMb0Z\nX5sxTtd/UambqzTXEApaBEFYIl4sO6Y347TGnaJjerNaa6VcsOPJjKoInD91rKoINLqAKti9i7e6\n6Bfao6qQ51lZUJkdgxNnd6uAanROIkE/Ni5qw9q5k3KcRVZd1ZLnzN8xvRldHVNU8+N7XuqrKCNd\nT9e0GGMfADgNIAMgzTlvZ4w1APgNgPMBfADgG5zzTxhjDMBGAAsAxAEs55y/Je9nGYD18m5v45w/\nava6tKZFEO4irr/0rLkCPe8cVde0jIpWFXWfdv1FfLyrY0rOehfg7npJoXVQTp9XqnWwYkQimYyE\neCqDR159X33vHv/z2eg7PpBT06XUZTWNCuMH13wW339id55ww6MCY1s7LEXQauecfyw89rcA+jnn\nf8MY+yGAczjntzDGFgD4HrJBazaAjZzz2XKQ2wmgHQAHsAvALM75J0avS0GLINxFvFgqBawLpo1V\nF/rFQmFg+IKtSN61F38lKGiLkTvntGD5pRNRV+NMlFFuStlAsZiCZGWc4nv38KsH1SAm3kR0TG/G\nX33pc4glcx3762uCXr0nFVtc/FUAV8r/fxTAywBukR/fzLNR9D8YY2czxsbK277AOe8HAMbYCwCu\nAbCltMMmiDMXMe00KKeouncfQffuI3jv9gWGKT4l7QXkWiSJ8nWlGFkJYDc9tqsU7guuovUBBPTt\nq9zAyJpKD22AA0fOeycqObs6pmBSU13OemOnvNalUAkuJF6vaXEAv2WM7WKMrZQfa+KcHwUA+ecY\n+fHzAHwkPPew/JjR4zkwxlblD2zbAAAgAElEQVQyxnYyxnaeOHHC5cMgCEK5WEZCuWs+2nYfgLOF\nemW/gykprwi5WhoyFrp+5iV662wZScpxuVfq47512QWY1FTn2nqjl3gdLi/lnB9hjI0B8AJj7L9M\nttW7leImj+c+wPkDAB4AsunBQgZLEIQ1Wvf0oVRGLWTVOsA7oVRScy8wcpR3Y4ZYaDpQr3Hndx5/\nCw8tbzccZzQUMDQ/1nOIL8cM2NOgxTk/Iv88zhj7RwCXADjGGBvLOT8qp/+Oy5sfBjBeePo4AEfk\nx6/UPP6yl+MmCGIYo4umkiKKhLJ2S4VesEXT11Kl2OyMx+mxOEnbORlLocILo5uAmqBfXWfTjlMM\nvrVBn+paYuYQX+rA5Vl6kDEWZYzVK/8HMA/AOwC6ASyTN1sG4J/k/3cDWMqy/DGAT+X0YQ+AeYyx\ncxhj58j76fFq3ARBDGNXyu1Uuq23//VP79Vt6qiY4nrpA6g3HqfFzl5QjD+hIlkXsZO2Vd5Lv8+n\nrjfetnAabt5WWD2d23h5+9IE4B+zSnYEAPyac/48Y+xNAE8wxr4N4BCA6+Xtn0VWOdiHrOT9RgDg\nnPczxv4awJvydj9VRBkEQXiLXorJTZdv7f4lDtxx3bSstFrT18ms1YnZbMjJzEkcj2KD1BANIZZM\nIxoqXft5cczaGqpVV7UgEvKbpugkiSMjSarXoNjqxUnaVusiL1Ku1K1nQYtzfhDAdJ3HTwL4os7j\nHMAqg309DOBht8dIEIQ5Xq8zafffvfsInt17FO/+7FpDU9wtOz7EotkT8np26aWqjNJrDZEgUhkJ\nKYkjGg4gpnTxlccj1iuVOh0mjlnsPOxkTPFUBt+RvQb1Wr3YHYcSOBWBRrlTtwA5YhAEYUKhlkZu\n7V8vaM6fOta2ylAvvbZlx4cYTGVwaiiteh6u3LwLJ2NJxOWLczH2UsUijll0o3AyJuW8Kf6DF/7l\ns5i74V9RY3OWpU2TPvLq+9i4qK0i1JHUmoQgCEOMmi+6dbGyau6oJ85wIsWOhPxoGhVGz5or1BYq\nkZAfaYmrfntAdga3emsvHlrWnp2JRUNlS4eJgbp79xEAyKuhshpTsXVj2rTthu0HAAAPLJ3l2I3f\nbShoEQRhiJdSbqP9i+tYTaPCeesyRqmqoVQGEkfOOIfSmTzV269WzAYAfWVdyI+aoB+xZPnSYdqA\n0737CE6cTuCBpbNsj6nYmw29Ge6mF/vwF1+clFMwXg4oaBEEYYqVlLsYWyG9/WvXsfTEGdoL8n1L\nZiKWSOfVitUGfarqDYDaNfnsSFA3AMQSadTXBHPqlbyYYZphFnDsjqnYm41SOnw4hZpAEgRRMHbq\niJwGNTs+fnr2RKL/oVIIO6ExkrevhW3NuG3hVMSTGazeOhzkNi5qQ2M0BL/fV9C43cTotd0ek9nr\nlKJ7s4aK9R4kCGKEoF37GF0fRiyRRmNdCAOJtKFk3eziZ+cuXzs7EyXZospOVN8pHDuVgM/HMKom\noK7RKOpBJWDpvYYWL4Oa0Wu7WcBsFZi8TAsXA6kHCYIoGG2frXXzWnHrU3vVwtxY0nlxbEEdfQUV\noqiyM+oFVRPwoyYUyDqWM4b6mmBOwLKi0oqQjTBrTGlVuFxowbjX0EyLIAhHGNXviMECyM66tA0G\nAWsVXiF3+eJ6j6gu1Krv3JoxeF10bRez2Z7VTKpavR4paBEEkYOTC2HnnBZsXNSG1Vt7c4JF11c+\nj2unjcWhk3F0zmlROxf3HR9AzztHLRf0nabB9FqnaNV3bgaUSrjgZzISTsaThkXWVoHVKA2rp8Ks\nlFkWQOlBgiAErNJe2pTShu0HsPWNQ3hoWbs66+qY3oyvzRiHNVt78fL+41h0yQR0de9D6/rn0NW9\nD4sumYDagPuXHqPWKWJ60Sxd5gSvi66tkCSOWDJjWmRtFVj10rCKCrOS056kHiSqknIqu0YyVm3j\njZR9vT+ep3bAlTjH+IYIWtc/h2c6L1c74ertzyv0Ph8ATNNlTj5TZVLXqQwk0qgN+tG63lhlafVe\nKsdhpsLUe46H2DpxNNMiqo5qWQSvRqzuzo1mGJGwH5te7MNdv92PCY0RtRdTuRoJ6okIzIQHTj9T\nYjry3Z9diweXtXsasLQzxEjIr55jkRwLLBuCFu15ioTLn/a0goIWUXUU066BMMfSC9AkpaS0cT9w\nLLtu9fOvX1R0V2M3MQvIhXymSqWu0wuoA0Np9RyL78VGwcW9kMBa7rSnHShoEVVHJSyCj1Ss7s61\nF8KHlrcjmZHwyKvvqxfQe1/uw3WzxuHptw8j6Gc57d29WF+yi9kFuZI/U9qAOro+jMFUBotnT8DT\nbx9GV8cU7L/tWtx/wyw0RnKDkipoUU4tg+m5LqTcoNSQepCoOirZYqZaEdc2omE/HlzajkhYf21H\nVPZJHOiUxQB9J2JqG4xEKoNvXXYBImE/hlKZvP0B5utLXmBmg1TJnym9Wrg1W7PdhNfMzbp+xBMZ\nw9me3vrbfUtmwu/z5b3HlVxUrEBCDKLqKPci+EijmPNpx3JJDzsiAS+oMNsiW4jnqmfNFY6FLdpz\n3TG9GT+4plXTHLIijpVsnIiRSTXcDVYTxRTKFjpDsZuOE4PMUCoDSYLhDFC7vdUsUWuPVKmfKaPC\naQWrNKb2XK+6qiXPRLgchdGFQmtahCd4vV5RqRYz1YhZALF6HwtdA7Gz4C8KENb+phf9sSRWbDZW\n9xWrKrXzmSr1OpwyLm3htIiVUEJ7rsul6HQLClqE65AkvbowCiBDqUxO0Pj4dCK7kD80fLEuVPpt\nJ9iJM8DvXjk8OzBS93mlKlUCVUaS8HEsUZbPtZ3CaSO057qSFJ2FQGtahOuUY72Cio0Lx2g9pzbo\nx4rNOzG6Pqy6pru5BmL1nonrZe/dvsC0kFa7PZBdu1l1VUtRnoPKudmy40Ms/ZPz8d3H3ypX4W3O\nmBy1epE4htLDqdWhZAaxZH7vsWLaybgErWkR7mHkMKD3wS61fLiSF9GrAaP1HLDs+/ZM5+U5Rrhu\nrYFY+QuK62VH/jBouXYmbi+2JynmMxFPZbBlx4dYOGMc6muCRX+u3QgGTnwZjb4bDRHj9btK/z5R\nepCwRC/dd3oohZMGqZJSFyhSsXHx6DpIyO9judZAlLTW2rmTUBPw4c7rtS1G2nLSYmIaTHScL+Yz\nEQn5MX/qWNzy5B5LBworypE2N/puDKYlw/W7Sv8+UdAiLNH7EH8ST6n1OdoPdm3Ah40GBaVeEAn5\n0TQqjJ41V+C92xegZ80VaBoVtnVRLcfCeiWidx6UIFDMGoiT86vdFgAaoyHceNlEdG7txd8+v18t\npL3jummI6ogllBqzSU3uBNp4MqMGbaPeXHY/1+UIBoVkPfSe0zQqDHBUxPeE0oOEJXof4vENEd0v\nQ23Qh/5YClt3HFILTWOJNKIh73LiQ6kM1s3PrTu58/qLMJTKIBIy/ohXehqkVJidh8ZoCNGwH5sW\nt+WtgVhdrJ2cX7Nto+FsT660xNX+WMp6ltHzt6/9U1eKhSNBPwYEiyoA6uc6nsx2O7ab7iuH60Yh\nJQna53RMb8a6+a1YsXlnRXxPaKZFWKKX7jO7++7c8jY2bD+A+Xf/Gy78y2dx02O7MJiWPBufJAE3\nb9uD0fVhPNN5OR7/89lIZ/iwdY0BlZ4GKRVm5yG7RhlAYzTsWCHo5PyabWsn3ZzXMuWFd/H/fmO6\nOitaO3cS7r9hFiIhv6OZgs/HEA351czBs3uPoqt7H/pjSUSCfvTHU7bTfeXw9SukJEH7nLVXT7ZU\nbpYSmmkRlujZ35wTCerefSt3xSJe301Gwtn04NqrtQvvbaipsDvfSsTOeXDalNHufm1ty2Fov2T2\n/KCP4Y7rpmHcObXojyVx02O7Cpop+P0+nCsHbXFG5bQo28xGSg+3RBuiyEYp0FY8CPX2qX0OgIr6\nnlDQIiwxVJcB+V/kMni4xZMZrJk7WUfh1muqcKtkv7lS4tV5cLJfq22t3Cq0z191VQs6t/bqWh8V\non7UC9pOb3qcuG64mbpWxi5JHLFExtY+xeNV0qOV8j2h9CBhCz11md5j5XCJjgT9mNCov8ZmuuAs\njHVhWzNeXnclfrVidnbBeYQIMuwIIbx6z5ycXzvu8mZuFdrni4pHr9SPhaT77Dq5eJG6LnSfpRZW\nWUHFxYTrlKMwcWAoXVDHVaXwMpYwL7asRpwKIbx4z5yc32LHID4/lkhj5eZdBZvM2n09r4Q8hRoR\nu71Psbh6/tSxOcIqv9/1OY+tA6OgReji1Ki03Ni9gOhdGOOpTFkcx72mXE7qlTAO8fPQNCqcoy7t\nnNOC5ZdORF1NoOjPs1fB3otzZrXPCvhukCMGURhmX3g37ia9+KLbWS8wDGx1oYpaaHaLShGaFOLo\nXuznQk+A8ODSdtSGfDhZhChD73X0BCrFHotT0Uax+6ym7wataRF5ODUqdUIm453pqNV6gV4H2Fgi\njXii8luMF0KltE536uju1udC/DxEQgHU1QQwmJKw2qAo3i3cOJZCjYgL3afReldMFmGIlPu7QUHr\nDEfXCUG4M3ZzEVuSOGLJjGsXDaduFnodYG99ai/WP71XxyKoslqMF0L2zrqt6Fold8Zh39Hdy1qg\nUsw+3ToWL9rvGO3T7LyUWlhlBaUHz2DM3L0Viavit6aVuw7JX0B1rSuRTYWYfbHiqYxrdVyFLIKL\nsmjRmw7Ito2/47pp2dblFbpuVwghv8+VWqVisJO6LVUqsxRlDpWSlnWC0XkZTEkV1xyTZlpnMEZ3\nhD4f1Lure1/uy5uF3LdkJlJpKbcp3+adOBlLmN69R0L+ok1HrcauvZsVZ2M+BnXmoZ1Bdu8+gru3\nv6sG33gqU/Wy93gqg+88/hauvOtlvHcihtVb7c1wvfBjtEzdliiVWYqSjEpJyzrB7LxUWsNVUg+e\nwZhJYMFhqB4EBz4eSODWp/Y6ViI9/MpBLJwxLse5YuPiNpwbDTuTN9uQ7+rNxu5bMhN+X/ZeTZTI\nd0xvxg+uyRecNESCGExLFXOX6QSn/agA83PmpXq0lD6QmYykzvpjsiuE3+9zTQhSCZ6WhRxLBfSk\nI/UgYYxyN22WKhmu/B/+mNSFA5A4x/iQcTGvcQ+fIBbP/gy27PiwaDNdO2kePZud7zz+VjbVoVFS\nif5qyrZbdnyIRbMnYHWV1m+J58gozatNi2nP2ej6ME4n0q6qR/UQU4i1QR/iyWxQcfviKUkc/fGU\n7mdT7/FCHSjKmVIrNGgWYtVVDig9eIYST2Xwy9fez2u1sFHTo0hECXTxRMbUMNesh09jNIRvXX4B\nJjXVYTCVvWAWUqRoJ81jtragVVLpOWrMnzrWc6WZl4jnSC/Nq5cW056zVVe5qx4FctOP8WQaA0Py\n/+W2Nv2xFFZu3uVJzymztLKbQhBtSg1AyVrgjHQj6MoNp4SnREJ+bHqxD30nYuqsp+/4gOHdmLZ2\na/2XP4c7r78op2Dz25dfAM6zaUTDYMGs7+bspCns3M1azcas/NXK1fzQLYxqlYzSfHqzb7fPgVUN\n4P03zHJkQusUoxuZQgVCdj6rpU4XVqMQxAk00zpDUS7o3buPqC1Eurr3YTCl30JEvHt7uvcIfvrP\nv0fQ78ODS9ux/7ZrsPRPzscn8aww48CxwsUWVjUuOXfpKfkiYbBAXBvwYeOiXM+0jYvaUBvI/9hH\ngn7ct2QmXl53Jd67fQFeXndlRdaoOEWvVsno7j+ezJ99F9MAUg+rGkCvuwQYiSQKea/t1mOVeuZT\njUIQJ3getBhjfsbY24yxf5F/n8gY28EYO8AY+w1jLCQ/HpZ/75P/fr6wj1vlx/czxuZ7PeYzAb30\n2n1LZhp2J9XevXXvPoJL/+ZFRMJ+DKYk/CGewlO7DqOrYwouHB3F3YsKM9g0+4I7LUweTEnY+sYh\n3HX9Rej98Tz8asVsZCSOhEFvr2RGwq1P7UXr+udw61N7wTnPqXOqhBoVt9C74EbC2dn3Xb8d7hAc\n9DPXzoGdGkC31KVGmKWVnaoK7QajUs98ymFaXUpKkR5cDeD3AEbJv/8cwN9xzrcyxu4D8G0A98o/\nP+GctzDGFsnbfZMx9nkAiwBMAdAMYDtjbDLnfGTcNpQJvdRRLJFG5+Nv6aYwzFJtkZAf486pzVEF\nds5pwX1LZqG+1tliutEXvDboQywxXJgM2OhfFPbj4McxZCRouq7m99nKXoBy9/2dx9/CQ8vbHfUi\nqhb0RCqHTsbV2bfSpfcLFzTmnINCRQVKkIwJ6Uc9cUjPO0excXFbnvjFrQuuWVrZqXjCbjAqdQuc\ncgtBvMbTmRZjbByALwH4e/l3BmAOgH+QN3kUwEL5/1+Vf4f89y/K238VwFbOeYJz/j6APgCXeDnu\nMwUxdSRxqBdtvbtGo7u32oAPsUQaA4m0Wqybljg2bD+A7zy+C7FE2lFth15qo3NOi6omc3LHGk/k\n9tkaPq5e23fDNUF/9sLCgVgiM1yX5rJAoNToHe/d29/VnVXVBPxF1+koQXLDC++q6Uc9ccji2Z9B\nY8Rd+yItRnVHTuuR7KbhyjHzqbTaKjfxeqZ1N4AfAKiXf28E8AfOeVr+/TCA8+T/nwfgIwDgnKcZ\nY5/K258H4D+EfYrPIVzC6q5R7+6tNuBDfzyFLTs+xF98cZLhArejcWik6J1zWrDokgmIhAK2ZdsK\nPh8M+2zVBn3Z2ZI8g0pnuOm+nXaprXT07v6PnUogGg54coeufL6UOjFF/JMwEIfUyXVTACp2ZmvX\n1Hakz3xKjWczLcbYlwEc55zvEh/W2ZRb/M3sOeLrrWSM7WSM7Txx4oTj8Z7p2Llr1N69Daal7N3z\n9gP4708GXVmL0ErRb7xsIlZv7UXf8QH0vHNUvUu307SxJuDHwFD+AnvnnJac9ZzjpxKW8v+Rpsgy\nuvsvZlZl5qQhfr4U8c+Sv98BCcgRhyiv54WBrts4MbUdyTOfUuPlLeKlADoYYwsA1CC7pnU3gLMZ\nYwF5tjUOwBF5+8MAxgM4zBgLADgLQL/wuIL4HBXO+QMAHgCyjhieHNEIRm+Gs/zSiaq5qt6doXgh\nv7NnP37+9Ytwy5N70DQqjDVzJ2d9/BJZOyQnX1JRiq6kBO95qQ/r5rXi6bcP467rL0Io4FObChr1\nR/L5GKIhf94ayfJLJ+Kmx3aps4zxDRFL+X+p1yW8xu27fytZt9NWG9Uys63UgtwKcLfwDFMbJ8bY\nWrMnc8432HoRxq4EsI5z/mXG2DYATwpCjD2c8//LGFsFYBrn/DuyEOM6zvk3GGNTAPwa2XWsZgC/\nAzDJTIhBNk6FoXzQa4PZnkNWThDapnId05vxoy99Dj4Gx12Ajb5k4mt0TG/GqqtacN7ZtaoFU9dX\nPo9rp43Fmq3Gr5e375A/xwJK29m2Y3oz1l49Occ8F0DBTSZLfbEoS+doG00LnYzLi869ZwqVYCNV\nILYGZ5UerJf/tQP4LrJrSecB+A6Azxc4sFsArGWM9SG7ZvWQ/PhDABrlx9cC+CEAcM73AXgCwH8C\neB7AKlIOeoNy12jUc2gonclJ/9QGfDkpphOnE6gN+k0FHXqYpYLEWqtn9x5FV/c+tXi5Y3ozvjZj\nHNZYGMFqUzPaVOg9Lw0LAha2ZT0Ib31qb85YAFimgiohpVWuMdhJnzpJkY30WiMvOaMdMTjn/w8A\nMMZ+C2Am5/y0/HsXgG12X4Rz/jKAl+X/H4SO+o9zPgTgeoPn/wzAz+y+HqGP3TtdvQtQ06hsw0Tt\nDKohEszzi9N7rlL/petcoZMK2rLjQ9x42UQwMOz6sB/3LpmJUbVBnBpM4eRAAhef34BVV7Wgrmb4\n9ZSZWMuYOgwm89OS4kxSTBmeOJ1AfTiAB5e2A8g10lUaRTbWhYbHLhTnilRCSsvsXHrh5ae+rsvp\nUy86954pjLT1Vy12P00TACSF35MAznd9NIRn2EkZKBd18Hwl3Zq5k/PqmJQLciToV/f9t//ropzn\ndkxvxvovfw4fDyQwPhTBx6cTOCcSRH1N0LABXcf0ZiycMQ4rN+/CY9++BFOaz8Z3xfqxRW3YtLgN\nDdGwqigcXR/GunmtOe7x4vFpj79zTgvuv2FW3jqYxHleo0ijfWrPb6kvFno3IcoYlAB+4egoTsaS\nWLnZnT5aRjc+bgcZUtwVjtMbiEpIaTvBVmsSxtiPAHwDwD8iq9z7GoAnOOe3ezu8wqA1rXyUNYfR\n9WF1NvJRfxxjRoURCQXUi/qWHR9i8SUTwHzAwFAG4xsi+Kg/jgmNEcM1hngyo65nvHbLVeCA6if3\n2g/nIJWRcvzl7rz+IjREQ6p7/MBQOmd2I64x9f74anz38bfy1koeWtaODOd45NX3sXDGOEicm7ZK\nsTp+7Xl6/eDJvLUu7T7FmdvpoWwVh95YvZhpmTXwfOXAccz8TAPWbO1FV8cUW8dga53J4san2i5+\nIxUna1pOt/X4/XVlTQuAmp67EcAnAP4A4MZKDViEPpGQP2tQOq8VXd37VKuimCxNVtJK86eOxZY3\nDiGR4jmWRnrScdERQ5lh/NFZtbirZ9gGKBoK5PnL3bxtDyRpWCLtY8Cd11+EtXMnoWfNFZjUNGzv\nU18T1C/6DfkRDQWwePZn8PTbhw3rsZRZjtXxq+dJkIKbmcWKa0f/8+kQBhJpbP73D/Jk826ntFSn\n/aT+ukXAB1zaMlpd5zM6hmw6N42TDmyxrNZKSNatjxdNNc1wIsV30ky13Ou1Ck7qtCIATnHONyIr\nS5/o0ZgID4gnzd0hlMDTMqYO86eOxbptu3O2++Vr72Oj7JagrZGKJ4YXzfuOD+DYqYRqwmvk+F4b\n8qlfgnDQj9/9/hi+eckEdHXvyzHcNfOiU76c37r8gpwxaLezc/wK4hd+0EQMIH7Zz6oN4eZte7Bh\n+4Ec374Hls5yVbElXjhqDVKRaQk564p650+pUzt+KuFINDPS10rcRAlUGcmZX6Zb2G2NYtuKqoLE\nHbaCFmPsJ8iq/m6VHwoCeNyrQRHuEwn6TWcjSh687/iA7t35phf70BgN4aHl7fjRlz43rK7bvBMZ\nSVLtf7TWPMc+HTK88Ctfgr7jA/jTyWPU2cHr732sKgat+kApX85IyNwqx+r4RezsU/yyi4G5e/cR\n3PNSH/qOD2SFD6mMJ72gjIJ5JOzP+ds9L/Xlzf6WXzoRq7f0YnyDvfOhvj4p+gBYz5zEm4u+47Gy\n92TTzpIefuWgOn7R3b5jejN61lyB/bddm5+BqKAbFruJ9q8BmAHgLQDgnB9hjNWbP4WoBMQ8tGhW\nqqCm+OS02JYdH+KP/mSi7naDKQkQPAoBY2NZxZpnKJXBpsVtGtVhW85s4J6X+nD3ojb19y9ceC62\nvnFILfT9n08HseEb09F0Vk3B/bV8PqamOO3bQDE1UEtSNjjFE8MzN2VfihuIUktmV7zhFPHCoQQj\n7evEExnVOeSWJ/fg2b1H0TI6mis6kfdjxxZL/Pz4GHTey9Io+iplvczOGpB4c1EJPdnE8Sgip5se\n26UKkjYuasPWNw7lGF47McwudVG1XSHGG5zzSxhjb3HOZzLGogBe55xf5P0QnUNCjCzahnu3LsgW\n/m7ZcQjzp47NaXfvl73e4qkMagI+9Mfzi4sbIkEwH3Nc9Kl3wYmnMjnFqK/84Cr84B+yqbv3bl+A\n1vXuF5YWUnRp9ByxPXvTqDB+cM1n8f0ndlsKH4pBr5jbqAh6y44Pdd9jcT9OFZcXn9+A+5bMhN/n\nM2wk6QWVVCxrq4haKIy2EvMox+dlQLYaz9q5k3DjZROxcvMuw3GW6D2wtSO7QWsdgEkArgZwB4Bv\nAfg15/wXxYzQKyhoZdG7OF0ztQnXTh2LrW/oBy4Fo0Dz8emEqUrPLpLEcXoohU/iKYxviODjgQQY\nA1ZvyVW8ibVX8WQa0VBxC/xOLxBmFynlnIhtSyJhv2dODnYvHFbHqL2ZES23IqHhbY2O/aHl7ZA4\ndPfvxQXYTrAuVfCy49ShdXFxemPgdjAQx2N2Q2h1XJWiHrR1leGc38UYuxrAKQCtAH7MOX+hiMER\nJUBJAz3TebkqQOjqmKKbCti4uA3nRsN5bRqAYU+1SMiPu7e/q5OWaisoRaQ0XRTv4h9c2o7aULb4\nd+sO85RFITj1ijPr76UXsMxSsE4l5npjt1O7ZHaMyus3RIN4YOksteAYPGtca3XsRkXmjdEQAHtW\nV04Rx+Fl+tUOdtJkYs2abnpWeM9KUZAujscoJWz1uQUqx2fRUoghdx7ezjl/gXN+M+d8HQWs6kD5\ngol5dUUdqFXRrdbpMaW3v2OnEjkKuTuum4ZoAfJmsemiMobvPP4WwAC/z4dzo2HceNlEHbVf8YvY\nksQRT6YxMCQvpg8Zy5CN+nudjCXx8CsHcfQPg4gl0mqfrUdefV8VkWjFG27IhouRlYuv37r+eazc\nvAsnB5KGgVPv2MUic+174pXCTBzHqqtaPPlM2MVObyyt5Pxbl19g+J6VQuAgjqdlTFRVARfbublc\nWIZLznmGMRZnjJ3FOf+0FIMi3EH5IH7UH8/pFqsEMTH11nd8ALVB83sY8Y7tS5teUe9yawLGH2xD\nBwUb/bucNn20g5KWPJ1I5xQ8b1rchkZhpike831LZqppzI/642iIhvDL17JFzakMx7ptw8KUDdsP\nAEDOLEY0/y2nzZPTu3o9lwsrBaYXF2BxHOUWNrgx2xUplcBBHM+50bArnZvLhd06rSEAexljDzHG\nNin/vBwYUTzKB3HMqHCOJH0gkUbnnJacQtuu7n2Wd/1OihYB44LETEYyLVZW8EJiHU9l8Ek8lVfw\nrNRraeXMnHM1jakUJNfVBNTZqp5sfNOLfdnZp+bOutyyYaXAumfNFXjv9gXoWXMFmkaF1YaYWgm3\n3vttVg8nvl9m8mmn2K2dKxVuFlFXUlfjaikOtyvEWKb3OOf8UddH5AIkxMhHnPEkUxkkMzynpxTg\nvuWQUeuSSMiv2i+ZrSnaNykAACAASURBVKsVu0itN8sDAziH7mL0/tuuQX8slfN6998wK+88vbzu\nSoxviKB1/XN4pvNyW2pBJRgq+3JbYGKHeCKN/ngyZ4b5iz9rg8Rh2YZGPA6j9wQYVi66vRap9/pm\nIpJqolLk/BWAe+pBAGCM1QKYwDnfX8yoSgEFLWtK0a9IfI2O6c34qy99DomMhLFn1aJ1/XNYMG1s\nTnqyZUwUfl/u5F/8QouCh0J98mqDfnw8oK+AfGDprDzZr57aamFbM3761am46bFdmD+lybKfF5AN\n4A+/chALZ4zD028fzruoeykllySOoXQGaZ0blZfXXelYDWp2kZUkjlgybSqfdut4jAQhZ+gFfyTg\nnvcgY+wrAHqR7WcFxlgbY6y78LER5UBMfYmV8AoXn9+AoVTGNZ807QJ6LJnBzdv2qAompe36hX/5\nLLq692EwJeWl5wB5TYADsURGFTwU6pPn8wHnRII6Lhttumtoes4Tx04lEPIz3LtkJuZ+vgm/kQuh\n9992Le6/YRYaIsG8C2ck5MemF/vw4n8dw/JLcwUmo+vDOC2IOdy0+lGC9/FTCd3jc+qKAZinkbxa\ni9S+viQUuZfbVogoLXbXtLqQ7YH1BwDgnPcCIO/BKkK7vqSncrtvycysEs4lnzSt+axygdSzFtq0\neAZqAz5DdZ1TZZrR+lFN0I/6miAaoiE8uFReq1najsZoWHcNreedo7pqq1DAj4DPp3oOKsH3psd2\nYTAt5Y0nnsygc04L5ny2Ke+ivuqqFjy167Aa+O66/iKkMxLAUPyNg3zexjdEdAOwItIRKXrdsATr\nTuVeHyTKh92gldZRDpbe3pcoGO1Ff8P2A9j6xiE8sHSWusju9/lcvXvVLqCLF0i/D2rQUIxlB9OS\nYWByepEyu3Bm1YsB1NXIs4WaQE5PKDFALZ79GTRG9MUnRmbAemOKBP3qDEsbPC4cHcXCGePQ1b0P\n33+iFxzA2id2F33jIPb46js+oNo7icd3diSoinTcEgKUQlxAPohnLnYTzO8wxv4MgJ8xNglAJ4B/\n925YhJsYNSjc9GIf/uKLk9Q0j9gAUaHYu1cllSRJHOdEgvjFn7VhKCVhnUZuHg0FDItZRSd5u9Lg\nQpoSmsl+62SbKx/LXjDtFBLnnQe5y7LWN3AgkVbThT1rrlCVjUDhsnhlZq2M8Z6X+rBuXiuefvuw\n6umoOKEwxlyVOnstn1beh3L5IBLlxe634HsAfgQgAeDXAHoA/LVXgyLcQ3vxMrvAGtWMDMkzLdE0\n1qlSy+djqK8JIpZM43u/1nZA7sWDy9rV1xPVhuvmt2LF5p1oGhXGnddfpKmtMr5IWV04jcQERvU1\nevVditno6q32LpzK+e3efQQA1ODB2HB9k1t1SMrMenR9WA2QG17Yn6O2E9ejCnU6cHoei0WrHrzj\numlFqQdHknJvJB2LGXY/TV/inP8I2cAFAGCMXQ9gmyejIopG+QBnXdlzL156F1jx7lU01B1KZZBK\nS7aLcc2wXKTnyJkdrb16cs6sQ+IYvkjZ+FKaBSCnUnqlvktU2pkVEuuhtfc5cTqhKhrF4m8nzutG\nr6nMWhXVoxIgBw0smwqhHEa22gLpp3uPqMrEQgJWpRjxFstIOhYr7NZpvcU5n2n1WKVwpkvexQ/w\n438+W5Vsi7VBg8nhO1Nxe8VQV5k9bF/7pwBgWxZtdUG1cskWnw/AE1m+aCSsnI+P+uMYMyqMSMhA\n5s25YX2Xk/FkMhLiqQyi4QBiiTQiwWx6Tpw9rJvfmjej1Bqsmrm4i8dYyjo8L15Di5ulGuUYv1eM\nkGMp3jCXMXYtgAUAztM4YIwCkC58bISX6DULfP3gSXTvPoLu3bl3pkpdjbJ9V8cUrN46nL4b3xAB\nYM+ex87dntVakzg7GnCwZqSHmYVU06gw1l6tNV5tQ03A2Ifv49OJosejtDPRnh+xb1dtyGc4e4un\nMrrFu9rC7ELW9JxSDgWfm7ZHI0mBWKpjqYQUpJV68AiAncjaOO0S/nUDmO/t0IhC0WsWaGbgGgkF\nDNdU+o4P2JZFKxdURbrd1TEFW3Z8aNjO3soKqhgVmpk5bTyZwZq5k3WMV41NgyNBv2F9l91AYCXb\nV+rQzMxsIyG/LcNjp5ZbhVAOBZ+bysSRpEAsxbG4YfjsBnbTg0HOeUr+/zkAxnPO93g9uEI509OD\ndvsPKduJ/au0TeI6pjfjx1/5HIZSkuWaVkaS8N+fDOXMAH7+9Ytw3jk18Pt8Bd2l6VoxAZb7seqD\nBeY89ag4MRQqSNFLbS1sa8btX5uGDOe2XCQGEmnUBv2eNMl0SrnWUdy6289kJJyMJXOENBsXtaEx\nGspJtVYDpe7LpeByCtK9floAXmCMdcjb9wI4wRj7V8752kJHR3iHNjV04nQC50SC2YusYBOkzMhE\nCfa9L/flqPROnE4g6PMhEgmova7iyYx+6iqZUWcAQFYZeMuTe/DA0lmoDQD9g/ndkK2+VFoxhd0v\np1m6xMeYatjrJM2k1HcpOBUzaFNbHdObsf7Ln0N/PImxZ9XaSu9Egv6i06ZuUS5ncLeUiYNpCVtl\nNxPFSmzrG4eyrUQKCFrlTJ2V4r2olHSq3XfmLM75KQDXAXiEcz4LwFzvhkUUg8/H0BAJqoXDjyxv\nRyIj5dkEKbVP3buP4MX/OoZ7l8zEhm+2oSESwoNC0XF9TRCRcLaOqj+WwsrNu3TTA0bKwFq5w+9q\nFwqX7TpjWKVLIiHrNJPWUqrYNIg2tbX26skYGMq1tjIar4LPxxAN+Q17ItnFrWOrFmdwPRRrLcXN\nZP7d/4ZNL/YVdBGuhNSZ1+9FpaRT7QatAGNsLIBvAPgXD8dDuICy4L9y8y489voHSGa4bsDw+bIS\n87VzJ2HOZ5vw3cffwuQfPYdvP7oTgykJ4FBbyks8V7Ch7GfLjg+zfoVDacO2FYOyWk4MaB3Tm9HV\nMQWRkN/RRdPu3Z7V2ofVmo9Sl/Xx6QQ4Bz4+ncDpoZQ6zkIu+trXnNAYsbS20gtEfr9P7YlUyHpV\nJVxgi8GtgOvmRdirBpiVRKU0irQ7t/4psgXFr3LO32SMXQDggHfDIopBLCxd2DbOcAZUE/SjJuDH\njZdNzFlPUb5wDy1vRyyRUVNx+2+7Ni/wLL5kgtruwqgAOBoO4MCxYRWjtmV655wWLL90om478rxj\nkz38FLm3Yk+kTY3ZSZeYpZmG0hmcTqRx61N71WO58/qLEAz4EPb7cDLuPNWpfc2BRFpVJGoLjq3a\nlRSTIitFi3evcHPtxk2FZaWkzrykUhpF2vqEcs63QSgk5pwfBPB1rwZFFIfyBXqm83LU1QQsC1aN\ngpokIefipt2P4twu1nDpFQDHEmnV9+6WJ/fktEzvmN6MhTPG4abHdtm6CNUGfFh0yYS8xfPaQH7S\noJgLuyQhz07p5m178NCydsSSw6lO5W+FXPRFReLN2/YIBcfOC7edrKcUcoGtBKkz4G7AdfMiXKoO\nxOXGK6cTR2Mw+yNj7Afyz1+IHYupc3Flo3yBxJmINvW0UZBqG6VJtIawSgpr7dxJ6FlzBSY11eW1\ntujefQRzN/wrAKh59UjQj0WXTFB97yY1DcvqxQBmJ60ymJbUOjJV7r21V9dZ3S566SYjM1yJG6/d\nOb2rVqyt9BznnQYsbbrv9FAKA0P6KTSj99uoLU0lpRPdntG4tQ5UKakzL3B7bbdYrNa0fi//3Inc\nOi3lH1GBKF+gj/rj6HnnqNp4UOz51BjJL/jVfuH01qjqawNYNHsCurr34cAxezVcfr8PjdEQbrxs\nIiY11eX08nLqtVfoLMHoS2d0QY4b9BuLhP22RRN2MHKcd4J2PcWqP5fe+23WlqaS1msqRQygpRR1\nceWgkm5YFGx3Lq4mzvQ6LSC3u6voJahn+aNsr1cPpbUXSme4mg7s+srnsXDGeRhw6EsorkuINWIK\nZrUfTmtFrNqzx1MZ3f1l1/O0nXHbUBsM4OFXD1o6UpQSbf2XttZOOSbxHGnfb3BgxWaDuraQ3/Mu\n13YpVW2Y2+nQSkmvOqXE9lC2Tojd4uJ/Rn7/rE+RnYHdzzkfcjw8D6GgNYydL4tV+3TFeHfF5p05\nXoY9a65AzztH8fVZ43BWbQiRsB/HPh3CWZGgoYef9jVrg9nGj6u39OoGFb2xOrloiT6DovhDfV5d\nSL0ga70Za4M+DKYl3UBu5f3n1ntjB+2F5b3bFzguPjbz9Isn9QN7uYQbXgcAtwNjNZvZuun1aANX\ni4sPAhgNYIv8+zcBHAMwGcCDAG5wOjqiNFgtnFp9odR+WHKvLVGM0TKmDl96sU91OweGP9B2xqXI\n6RujIVngoJ3Z6H+xo2E/HlzabsuVQhSlaAufO7e8jQeWzsLF5zcYB7VoSF3vUGiMhvCtyy9QL5qF\nrIUYzQAHhtKOW2xEgn7ct2QmPomnML4hYlx8nMgYFkSbCQlK4WPoBK/FAG6rK6tZrVmJAhO7t4Yz\nOOd/xjn/Z/nfEgCXcM5XAahIp3fCHk6LdcV6IidrO9p1JcVCZ8WjWa+946cTll2TlQv9t3+5E20/\n/S3+94M7MGixriKKUozWwjYtnoG1V+t5Eeqv29hZvLdavBbLEtZe3Ypbn9qLyT96Dg+/etD0eUb7\nTWYk3PrUXrSufw5DqUyeR+Kd118En8m33WidCxwAA+rDfrVY/YGls9AQCVb8LKFQ3BZ7VLMcvhIF\nJnZD5WjG2ATO+SEAYIxNAHCu/LekJyMjSoLTYt3OLW9jwwv7ccd10zC+oRYbF7fl1StpP9B6s7n7\nb5iVc/epVSHqjcPJHauYfty4uE0VjGjvGAdTUtZlvS6ENz/oV1OEF46OYiCRVoufnaSgbLnd68wA\nreT/RvutDfrVgA8A59aF8f0nenPsie7q2Y8N32wzHLNW/p1MZXAqkcbqx9+ybJcy0nB7dlGJsxW7\nVEptVs6YbG73fQCvMsZeYoy9DOAVADczxqIAHvVqcIQ3iHfrMQOVnJ59kPLh3fDNNpxbHwYDw7nR\nMB5a3o7eH8/Dr1bMRq3OHZjebE4rGxdnbR3Tm9Gz5grsv+1axITZhDbAGrlqiIqn1vXPY+uOQxhd\nH8YmA+sjn4+pRcvr5rWi552jOPKHIdUhxKliys7sVW8GaCX/N9qvVp7fd3wAx04lcuyJjp1KWCrs\n1LQbR46LynevbFFr1txWD1aanBpwf3ZRibMVJ1SaVZfd4uJnGWOTAHwW2cWy/xLEF3d7NTjCfbR3\n69qW8Yo7hd4MQ28tQZJ4jmuG2axCRFuofM9LWaPep3YdzlPmKfuLp4bvWLWuGtrtxBmZsub255df\nYLgWFgn6sfzSibjpsV3o6piiu/5ldw3CzuxVLEsQ1wjNnme0X6U0QXsutTMjJy1UxJsKp2UJdqlU\ngYLbs4tKnK1UM7ZmWoyxCICbAfwF57wXwHjG2Jc9HRnhCdq79Q3bD2DrG4fwwNJZ2H/bNVg0ewJu\nekzfENfO/sxmFSI97xzNMX09cTqB+nAAN1420XC2Id6xms1K9GZkC2eMw7cfNV4L8/myNVJvftBf\n9EXaTi2RciEbM2p4Bmi1Rmi0X8VDUnsu1YJlhzVDkVBuLZqbdWkilVT/pcXt2UWlzVaqGbvpwUeQ\nXbv6gvz7YQC3eTIiwlP07tY3vdiHaDiAwZTk2IndyaxCTI8snv0ZNEZyizHra4KmbhPiHavoqqHd\nTntxt+u6oTyv2Iu03XSQUljcKJvftoyJmrq3G4klJAloiAbx0LLhNK3f51PbsDi9SMaTmRwXFaVd\njdvprWoWKBDlw+4q4IWc828yxhYDAOd8kDFzkT5jrAbAvwEIy6/zD5zznzDGJgLYCqABwFsAbuCc\nJxljYQCbAcwCcBLANznnH8j7uhXAtwFkAHRyznscHichYyptLuAiYmeR2Sw9ovQtEk1kzfan3LGa\nbaeVaNudOSnP27LjQ9UnsZD0mtN0kJh2Vdzb9Z6n3e9QKls83umyWCIS9GPx7M+oXahbxtRhKJXB\ng0tnIaLTR60QJCnbNaBaBQpE+bA700oyxmohFxgzxi4EkLB4TgLAHM75dABtAK5hjP0xgJ8D+DvO\n+SQAnyAbjCD//IRz3gLg7+TtwBj7PIBFAKYAuAbA/2WM0a1YgZjNApxY5CgL6Io6z86swk56xO4s\nxWw7raVOPOlMbPKtyy/AeefUqBLvQix5Ck0HWT1P/LvEoaoG3RRLiOdhUlMdBlMZ1Ab9qKsJupLe\nUtayHnn1fdvtWAhCwdIRQ55R3YBsUPk8gN8CuBTAcs75y7ZeJLsm9iqA7wJ4BsAfcc7TjLEvAOji\nnM9njPXI/3+dMRYA8D/IFjT/EAA453fI+1K3M3o9csQwR+soUBvIOj+I7hRmd+t6Yg6j1iKFuBfY\nfY6T7Spxwb9YRLeCQlwwyoXo4CG6kFi1YyFGPO44YnDOOWNsNYB5AP5Y3vFqzvnHliPIzoh2AWgB\ncA+A9wD8gXOeljc5DOA8+f/nAfhIfs00Y+xTAI3y4/8h7FZ8DlEAYjoqEvTnBaD7b5hl2ttKT533\n+sH+PHVdocHCruOBk+1GonpLTM1atZ9xipdWSWIaunv3EXTvPlKxAZaoPOymB/8DwAWc82c45/9i\nJ2ABAOc8wzlvAzAOwCUAPqe3mfxT79PKTR7PgTG2kjG2kzG288SJE3aGd0ajpPfiyXw14U2P7TK1\nJ7K79lVJ6rBSqLdKXXMkpkgLEUsYjdctZ2+j/VeqUztRHdgNWlcBeJ0x9h5jbA9jbC9jbI/dF+Gc\n/wHAy8jO1M6W039ANpgdkf9/GMB4AJD/fhaAfvFxneeIr/EA57ydc94+evRou0M7IxEvSrVFiC9E\n9C46brcRKeY5XgcU7YX+4VeM7ZjcGou24DunL5fFOpxZYHLjZsNs/9VebEuUF7tB61oAFwKYA+Ar\nAL4s/zSEMTaaMXa2/P9aAHOR7c/1EoD/JW+2DMA/yf/vln+H/PcXeXbBrRvAIsZYWFYeTgLwhs1x\nEzqIF6VC5N12LjqSxDEwZE8AIT7H6R2+neeUoieQeE4XTBur2jFpX8/tsYgzyJy+XBazSbPA5IYU\n3Wz/I7X3FFEabAUtzvmHev8snjYWwEvyjOxNAC9wzv8FwC0A1jLG+pBds3pI3v4hAI3y42sxLMDY\nB+AJAP8J4HkAqzjnlEcoAvGiJBrg2r3rtXPRiacy+OVr+eowsWOylkLu8G0VN5cgTSmeU7O6sEpJ\nmSrjVSyz3rt9Abo6pqAm4LNt7WVn/yJi4KNiW6JQPCuG4JzvATBD5/GDyK5vaR8fAnC9wb5+BuBn\nbo/xTEVcwO/enc203nHdtGwfK5uL7lYiiEjIj00v9qHvRCzHuNXsjrqQO3xbxc0lKGIVz6lVXVjT\nqDB61lyhnpN7X+4reUGt4rUoWmZ1zmnBoksmYOsbh4qqU1P2TzVYhBc461pHjAi06b0TpxOIykap\nbt31Khet7t1HVOPWru59GExJls8RsbrDt/OcUiz8i+fULOU6lMpg3fxWdHXvQ+v659DVvQ/r5rdi\nSDPTMlv3cmNNTPFaFGeE86eOxeqtvdiw/QDu+u1+dHVMwf7bsq1InKbvaN2K8ApbnYurDarTsqZS\nur+K41AdHmw0gnTyOm7UaTnpAG1U79YQCSKeymDl5l35XYCXtqsNGs3GCyDvb/ctmZm1bQo7ey+1\nXWndrvWq1hbzRNlwtXMxUUXYuVh43f3VTm2U3sX5viUzh53YbVzo7LxOsXVaToMek9dpxOOoDfjQ\nH0+hIRrSTx2G7fUNA5Dzt9H1YZxOpAuyb9Km8Nyu9fL6M0Z4RyXfcFB6cIRRCqWcXawW2/VECY/+\n+wfgchmej2UvrFZpMDuL+sUs/JuJJ5RUXUaS8HEsoZ73b/9yZ9ZJXk65DqYldG5525Za02wNTvu3\nVVcVbt+kTeH1vHMUGxdZW3IRI5tKuoboQUFrhOGmOs3r2iajFiIrN+/C2t/0oj+WxIrN5f/iREJ+\nVTzx3u0L0LPmCjSNCqtpwBWP7kTf8ZipQ75yrHbUmmZrcNq/FdNGRasC/dblF5AUnagYhasRFLRG\nEJLEXVPKlaS2yaSFiJfdcp1iJJ4Q3UT0gkfTqDDAkdMhunv3EUuRg5mIQfs3pYmkiBORiXYG6vf7\nSIpegZTSbaXSW8ZQonmEoASZoJ/prkvEEmnU1wRt789sXcWt9QmzFiJedcstBEmCGkCB7Lm4edse\n/P/tnXucVNWV77+7Hl3d1TSBJsCAyKABO0aE5qEkMeNEo6IkYbgxuYEJAfMxmpkxAwxRozfeDDOT\nZGKSj6PcT65GokZjpjEar+nJ6BBNzEzMMETQBiUZpcUXQgRpH9BFV3fV2fePc071qWfX8zy61/fz\n6U9Xn67Hqjqn9tp7rbV/60dXLMnsdbI3Uk9ui3HVebN5z+TWzEoxt0P0w88c4sixZNHc00g5uNz2\nJJtXdeYVr9QjpOfnvMZYwm3BZ79vV/DeAqEu2E7mh5efnbfH5sZL51U82Lsx28odnO3VSCMEYGsh\nHivd5v6apR3c/Z8vsnllJ8m0wTX37+Fbn5zHtQ8MO7qbHtsHwO1rFtHq6EkFpup5rmMoVcSQJXjc\nFKE5Ei7o4Iqp+ZfjhEarMn4QcWMC6SR3MlnPiVA9kPDgKMF2Mi8c6eehpw9kwk+blp/BQ08fKLk/\nqhBuiZo6w1OtTZGaBGAbRak297etXshJE1vY/MteBlJGZkV20sSWoh2i7dAbUJcQbKEik0JaiJW8\nlt/zGmMJt8N1fpfZEqc1SrAH1u8+3suKBTOy8i+rlvxxxYO9F5tDSwnA3nHZYlqiYVC4oqDupNhn\n0RwJEw6FeOWomVeaPmHYUdmrMCdnzWonkXRHXir3ue2Nw+W+lt/zGmMJL1Tx/SyzJeHBUYJzSX/T\no88NyzIlzfBQpRedVz2ockNfYLVmT6brsqG2XLJCa0Np2uPRgp9FPBbm5oee58ZL52WKIrbvP8rb\nJwb59qfmZe2f+van5hFyTBMb6Rhyn7tUjrBQ7iox5O+8xljC7+E6t5Grb5RQyMmgyagsVPucftgc\nmhvTr2VDbTmUzOc4QntgzoJffyfJd37+HF++uCNTFPHtbc9xw8dO5x8/cSYnt8d5tS9BW8zMPzkf\n2yjH4HxuZ6FI7muZKiTpvPfaHo/KQOkTRmsT02oRGSfB9+TKDW3bcC6buvfmSyHVKTHtbAc/0vPn\nOrh158/msnNOYVxzhIGhNIZB0dVgI4sdnM+9afkZbHv2UJY47lmz2i3F/QhX3FP4vdorLhkoBZcQ\nGaexQKmy5NFSspy7Iml0OXwlYbuis2Crv5VNIWfayBl07nN/dHNhxX2lVNH36lxVSkhQ8AtSiBFg\nSm0AbnTL9Hq/j1KvUe6G2oGhdF1srTTxXSxpXc5nV6zyr16djcdZ5fXFFPe9SPILQi1IeDDAlApj\nAWWHuIrhxl6deqnB37Z6IYNpoyKF+Ea+72qfoxGfeaWq8bIfS/CIsi44cVoBJjfXA8OtJICi/3O2\nmSgVQqwkt1Mt1b5Grt1oMrmZ5fOnc9V5s5k9ZRyJwRStTZWX7NYaWq32fRV63MYL5vC5D52StSm5\nnu/Hr2Fkv9olNAzJaY127NCOUzroeDIFYK5Ezp/N0rnTMjmMbc8eyqpMG2lW78ZenVKvkbu6yi1q\ncOZbDK0zkkpXX9SR13W30pVDrZWT1X52pUSEG/V+/FIl6kQUOYRiSE4rwMSjYW5bvZBrL+5g27OH\nOPjWAH9571Oc9pVHeGLfEVaePTNrk/HKs2fSEhk+5SNtbnUj31HsNQaG0pmcXDmK7/bzOEV3vVRy\nGOmzK5S3MvejpYqKCI8lZQpR5BCKIU4rwIRCinAoxDX372Hp3GlZg9upk9vyFBDWb+3hRGpYzmmk\n1YAbqhjFXsMwhpsdlqP4bj+PG0K75RRK2PZsvGBOpqXJ9z67iJZIqGCRzLGBIY72J7nriRezWpfU\n6/24qRJeD0SRw/94dU35IxYgVI0t5po7uJUz2JWzubU1Fh7uwFulukYpipV9o6hI8d1+nv7Bwpto\n66XkUG7YKhRStMejrFwyk/U5xSEt0XCeAOqbiSGuf/AZUyzYUZqeqMP7CWKoze9K42MdL68pWWkF\nHPvLndsRt6wOuSVWUvZFefkPdtL59z/nM1t2mJ14G0Chsm9neK2c92I/Tzwa5pZVjeu+6+yhNVLY\n6kTKKNgYspBq/Mnt8cwxuzS944ZHiDfVvtotN9Tmp9WYF9qXQvl4Gb6VKUtAMQzNQCpNCNi8qpOu\nHa9ktSSxW6ev31q8z1Kpza3HkylX2yHk4tRbsxXfc2Wbcgcww9D0JYbYuuOVzEqlP5mitU6rQ8PQ\nRduUFApbFQtx2WK6zlWEU7fQ5qxZ7ZwYMmregFxOqM1vqzGRLvI3XoZvxWkFEMPQHBsYyujvTR0f\nY8MFp3HSxOasfk0tkVB+2I38/k2FKsfqcVHWUrKcO2gNDKWHw5RFnss5+7P7V2XKzMO1BxUSQ2ne\nOJYsO2xVLMQVCpGl67fu/NlMbosVbeZYa3VfOaE2t3s2lYMfqxoFEy/Dt3IluEQ1A3ixxySG0lk5\nEICHeg5mBugs+R1rsB4Xi1Q0m671oqzHzL2Q4rv9XgrR6NlfvCnMzY89n9dkc/OqzoJhq2Lq3M2R\ncKZxY0s0xNH+QT5/906mjo/VrM5f0O4yVMKr/exkL9XYxEvledlc7ALVDODptMHRxGBeEn9SaxMo\n0Bo6bhh587CTWoRgK3U6bmxMdvs17ee398XNnjKOV/sSTBkfy3KqTkYa1N36nBphh99CioK7NGDC\nUtaDpRDDBSpNWhqGpn8wXTCJnxhKkxhMF9XfK7WHqloh2Gq6l5b7WvVM/lebvC/XBvv5jxxL8tHN\nv2b193fQmtNuJJeRmum5lRsY0Y4qPjvZSxVsav3uedUoUsKDLlDpwJQYStMaixR/jIaJ8WiB4oTC\nYarM81YY8qslghlUbwAAIABJREFUp1DOa9V7pl5N8r4SGxpRHFDv3EC1s99q3pvspQou9frueREe\nlpWWC1SqLBFvCpcs8w6FFG3N0ax29FvWLGZSa6z0IONiGXE5r9WImXqls79Kbah2dllsVlvJOXE+\nR2IwxfGBfEWNWpT9K/7sRCE+sNTju1evThKVIjktF6h0VnM8meLOX+9nxYIZPPT0gYx+oF2+Ha6h\nEs7NmdFIr1VK8LdYXq7uNrpgw0jnv5xz4nyOqeNjXL20I28LQEs0XLShYyPyiJLTCi71uO4bkI8V\nwVy/UGnoJR4Ns2rJH7PzpaN8+uyZbNhae7sNpy1ulRGP9Fp+UD1ww4aRysnLOSfO59i24dyMrJXz\n+X50xRJXw3Wylyq41OO69yo8LOFBF6h0dWMPBh+aM5kNWwsXY1Rrh18UD8AfqgeFbLht9ULQ1O1z\nquTLXTSM6HiOYrJW9qZlJ40O13mVjBdqox7fPa/Cw7LSajDVhlBCIVW6GKPE6xVykH4M5fhhpl5o\nE3N/MsW6e5+q2+dU7qy21DlKDA0/h53vHGnTspt7Z4RgUY/vnld7tSSn1WBqiftW+tiRBj23900F\nkdzPfPn86Wy88DRzw28NDRjLmTAUO993XGZ2ora7NTtzWrYair0huSUa4kTKkHCd4Ap1zpFLTssP\n1BL3rXQmUyp3IuXJw5T6ojk/p3o2lCxnVlvoHE0dH8s4q4vnTuXW1QsZ3xJlYDDNHWsX0z+YypN+\nmtTalKWKIgiNwgupLclpNZha4r6VbvAt5ZikPNlkpDJd5+dUzwaM5eR+Cp2jDRecxrquHia3xTiv\nY2qmyefld+8kZWjWFdmALgijFXFaDabWhGfuYAcULaYo5Zj8UPTgBiMVm4y0P8X5ObnRUNJJoXM0\nc5LZsqSQA60m5ykITvxWnFUOEj9oMPUsNhgpN1IqnOiHoodGU07uaKQwqfNzOuFySX6hc2RXBBZy\noAffOsFZs9rztBAHhtJFtRAFwcaPxVnlIIUYAaKcwoyxrLpdzufjpmhwPbBt6E+mslT9l8+fzlc/\nfjoAA0NGnpzXSOoozucfq9fLWMcLUesREMHc0UY5xRRjed9MOZ9PJWHSWkWDa8EO22g0rU1hplj9\ntmy7N154Gn/9zz2cGDQyG42Hw509ZeW1vJLhEfxBUIuzGua0lFInK6UeV0r9Xim1Vym13jrerpR6\nVCm1z/o90TqulFKblVK9Sqk9SqmFjudaa91/n1JqbaNs9jtSTFGacj6fSh2RF5MA25nc+ev9vPbm\nAJffvZN5f/dzuna8wvc+u4jnv35JJtc1fUJL1QOPqLSPbYI6njRypZUCvqS1Ph14P3CVUup9wHXA\nL7TWc4BfWH8DXALMsX6uBG4F08kBfwssAc4G/tZ2dGONsVJMUS3lfj5+X43azmTp3GlZxRc3PbaP\nL/xwl5nrGkyz7vzZHB9IVT3wBHWmLdSHoI4nDQtcaq0PAYes28eUUr8HTgL+DPiwdbe7gV8BX7aO\n36PNJNt/KaUmKKWmWfd9VGvdB6CUehS4GOhqlO1+ZSwUU9TCaPl8bGdSsnpRw2XnnMIPfvNiXifl\nW0ZoUWPnsdB4rv0oeEdQvy+uXJlKqVnAAmAHMNVyaGitDymlplh3Owl41fGwA9axYsfHJMU280lC\n3cSLzY71xg7bFJNrsp3KuOYIm3/ZS++RfjYtP4PZU8bRe/h4yXBnrlp8fk82/8+0hfoRxO9Lw61U\nSo0DfgJs0Fq/o4rL3hf6hy5xPPd1rsQMKzJz5szqjA0ofqhyCyp+dPZ22KZrx8t5qyinU7GdW/fu\ng3TvPgg4q78KR/5zVVMMDf/4iTNrkqkSBDdpaMm7UioK/AzYprW+yTr2HPBha5U1DfiV1rpDKfU9\n63aX8372j9b6C9bxrPsVYrSVvOcOrC2RbH05NK72URot+NnZ2+e8JRoiMWh2ss51KtXY74ceZoJQ\nBG9L3pW5pLoD+L3tsCy6AbsCcC3wU8fxNVYV4fuBt60w4jbgIqXURKsA4yLrWGAotuu8nN3ozkqy\nfa8fpzkS4mgiu0w5HpOEejX4uXrODtuEQyHamqMFi0aqKckPasWYINg0snrwHOCzwPlKqR7rZxnw\nTeBCpdQ+4ELrb4CHgf1AL7AF+CsAqwDjH4AnrZ+/t4sygkCxvTDptFHWHpnEUJquHS+zYsEMNnXv\n5YUj/azP0Zt75WhCBiIH5UrTjIbquUorIYNaMSYINqKI0WCK7Tq/fc0irrxnV9GQnjMkuO/142zq\n3sv2/Ud54RvL6LghO7yzonM6X/no6YXVvsdYfqKSkJkPFQFcwY95PCFYNOgaEkWMRlGJyGSx2Xwp\nsVPn6mzf68ezSp/tijInr7+TpDUW8US5wW9UEvIbq6sOv+9TE/yN10oq4rQqpNITViyH0J/M3hS6\nfP50Htv4pwBWjyRz4P3u471ZG0i/+3gvN146L2+gbY6EZSCispCfmzJNtappB1GNWxideJ0LHr0x\nkAbhPGHL50/nqvNm097aRP9gitamfGdRSnndPu7sRPvkS30897VLMgNv9+6DLJw5gZtXdnLfb19h\n6dxpTJ/QzO1rFhWsKBvrlNva3saNfSq1Vin6ucpRGHt4nQuWnFaF2CXDy86cVnZXW2f8d2AojWFA\nPDZ8G7JL1rdtODeTw7K59TMLWDSrnfVF8laSpzDx4wBfa+6sUmV6uQ6ERtLAXLDktBqBPZOvpKtt\nZjavoT+Z5op7zNDi5T/YyYmhdF7J+vYX3uDmlZ1ZIcBzZk/Oqxq0X8/rGLOf8FKZvRi1zkzLfXy9\nrgMJRQql8DoXLOHBCrFPWHtrU8UDUa4awfb9R+na8TKf+9ApmWZ+X764g6ZIiK4dr2SkefqTKcY1\nFy/cSAzmP++6rqdHfRVcMfwmTVNpyLLaxxe6viq9Dvy4UhUaQ7Wrcq81C2WlVSH2CUsMVq6unTtj\n3vTx9/Hps2dy1xMvsnllJ9de3MFQWrOuq4ebHtvH0pv/g/f8r4f5wg935RVuOF/P6xizUJpaZ6bl\nPr4e14HXSXbBHWpdlXtZger9NDSAhEKK1qZI0QILJ87ZjO14JrfF+NuPn040HOYLPzT3an36rJlc\nc/8e7v38kszAYxd6vGdyK4Mpg82rOvP2YsWj4UxLdlHrHsZvuZ3WWJgtaxYTj5nnK95Uvj32ROmO\nyxZn8qGJZL4TqXVFB94n2QV3qMeq3Cv8bZ2PKWeJbBiaYwNDvJkY4uR2U5D01tULSRkGkXA4s1dr\n+fzpTB4f48mX+jL7sCa3xbj6og72HnyLCfEoG7b2MHV8bFjc1Br4ANKGUUCtu3R7itGM1yGu3MKb\n/mQqf7JRhRPoT6ZLvqdSlarlUg/HJ/ifIE9OpHqwgSQGU/T1D2Y5k+99dhF9/YOc3B6n97CpdLFp\n+RnEIiGuf/AZlp4xlWVnTiMxmKa75zXWfvAU/uLe4soZdiXP5LYYV503m9lTxvFqX4Ip42PEm8bm\nIOOl0kWuw3xs459y/YPP1GxLue+p1hWm1w5fcAefqsGUdYGNzVHNJQwDrrl/T9YSvDUWoTUWoffw\ncbY9e4gbL53HSRNb+NKPe7jx0nkYWrP1t6/wxY/MYencaSULMGB4xpQydKY9ha3aPVbxchaZG3Y5\nuT1eF1vKfU+1FqF4nWQX3KEeq3KvkEKMOpJbKlxIfb338HFe7Uuw7dlDrFgwg4eePsCxgSFefyfJ\nd37+HDMnxdn8y96MfFMh2SY7XGMYumSBxljFSyXzXOdS6vxVgp23rPV5ykFknkY/ftwaUi7itOqE\nsxpn4309vHEsSaKAQ9n27CEmxKN8YpHpsJbOnca4pgi3rOzkyLEk+143BzlbvslejTkrx25Z1Ulz\nOMQb/UnueuLFgrJOQZgxNQov95HkOszvPt7Ltz9V2/kxDJ3JW2Y/z9jNWwq1E9TJieS0KqRYzsCZ\nW7r6og4eevoAq86eyZCh+dKPd2cVSLTHm0imjUwlWH8yxV1PvMjSudN4z+RWjvYPsmFrDxfPncol\nc6ex1ZJvsvdsxaNhEkPpTOXhpo+/jxULTmJ8SzTz/3B4bM9HvKoeLJQTum31QsKhkFn1V4UtkrcU\nxghlfSnEaVVAqSQ1Ck77yiP867o/YVP3Xr71yXlc+8CeEQcaw9CZx9rtRuxS9zlTx2XJPtkDntnR\nNkzHDZXJSQnuUG+HKd2GhTGCyDjVm1IbL+2w0Owp45g6PsZJE1t48qU+uncfzGwSvuCmf6c5Gs7k\nvtKGwRv9ybwmjt27D7Kpe6+1cTjCuObsJXy8KZzJlVQiJyW4gzPsYk8yapFEkm7Dgl/wg8SXOK0i\npNMGxwaGMLS51yqdNkpWcNl5lFf7Emy44LSi3YQHhtKZ3FfvYbML8U2PPj9iXsp5sfQnh3Ndzl5b\nuTYJ3lIvLUCvtd4EAbzvo2UjAfECpNMGR/sHWb91eEPoLSs7iTeFS268bI9HaW0K09wU5ofbX+Lm\nlZ1s2NqTlc8yDDKrNdvh2GEfW2vwxGC2YoIzLDl1fIzrl53OqiUz6drxCms+OKugTQNDaQyNlC17\nSL1UB6QMXfADflHREKdVgMRQmvVbe7JOzvqtPdyxdjGbVy2ga8fLWYURLZEQhqHpSwyxrutp/u/q\nhXzk9Knc99th0dvjyRSxsKIpOrxas0N82/cfpXv3Qbp3H8xs8HMOSPbFMrktxsYLOzLqGBsuOI22\n5gi3rOrMally2+qFBVUYJM/lLvXcL+Y3EWAh+FSae/WLioZc/QWw5ZWcPPlSH81NYWKRECuXzMzr\na9USDWUcS1ipzKbimx7bB1i7zdcsJuWQybG7EOcWURQTQv3XdX+SyV8BPNRjOrk7LlucNQtHw7p7\nn/J8RjTW8askkt90GQX3qUb5xC/Xs+S0cii1Ybc/meJEysjra9W142XilqO76rzZRZ1ePBbOyk88\n/MwhHnr6AN9fu5ier17Ej65YQqs1kDgTnc4ij4LONBrO2m9RaFOz5Lncx4+5KL/kJQRvqUbNv9D1\nfNvqhaBxtTBDpt05JIbSPLHvCLes7MzPaUXDqJDKcwhL507jnRNDGcfiDPvZOGckzvyEU1B16vgY\n11783sy+rnXnz+ayc06hNRbmllWdvNqXKK+vkk9mRGMdP+ai/JKXELylmlBf7vWcGbvufcrVNISs\ntHKIN4X5664eHn7mELeuXsjzX7+EW1cvpL21iXA4VLD8ePaUcYyLRbjx0nkZiaZCKhb2DNtZEm1o\nWGet3L50UQdf+vFutu8/yrIzp7FiwQy+8MNddNzwb2zd8QqT22JsXtU5cl8lH87wxyp+Ux3wS15C\n8JZqt1EUG7vc3G4jU6sc7JO56V9+x6Z/+R0AGy+Yw+f/5FQGhgxamkJ5hQ/9SVPNvbvnNS5dNCNT\n2efsPNxqVQPa+YSWqOkAnaFEe28XkLX/CuCmx/axfX8fd122mNvXLKI1FsmoX+QOhH6c4Qv+QFbh\nAtQmmOvMiXoxAZKrNAfnybTLy5sjIfoSwy1G1p0/m+99dhHjmiMkBtO0REJobeoJXn3/nkxln933\nyp5h2/mErh0vs2LBDL78kz1sWn5GZhBxNnMslL+aOj7GsWSKrh3Zsk6tTeTJNkm1mVCIIKt7C/Wj\n2omts4DDOXbZuDEBEhmnAhiGZiBlxmv7rQ6xuT2RNl4wh8996BRaY8OOy6knWKg7ra0hZ0s8bd9/\nlOXzp2dkmL7zqXlozHYmm5afwabuvVmv+aurP0x3z2sZh5fJt63q5N2tMVlJCWUh1YNCtTj7cDnH\nrjrltKSfVrWEQsPx2ns/vwQga9WzfP50ViyYwZX37CouilqgnXq8KZwl8QRkemBtWn4Gf/SuZo4N\npPjHT5zJjIktecUgMyfFWTp3WlbYcPv+o6zv6pFEulA2sgoXqsUZEnSOXXOmjnNtAiRXbBHsk9N7\n+DixSChrGZybb5rcZobtstvd5884EoPpLIkn+/Hduw9y5FiSLWsXM745SiQcMgeW5ghb1izOOMJE\nMp0XNrTFdeNNYbOHl8yaBUFoELk5UefY5dYESKoHi5A5OS+8wbvi0axeRrmO46rzZmc2Ey87cxqb\nlp9Be2sT/YPZ+xbi0TAzJ8W5+bFCWoOdGYeTEVvNEcuNN4Wz9pDZy/NN3Xtlz40gCA3HD5XJktMq\ngmGYQrnHkike3HWASxfN4F0tTZn+V1fesysz23jhG8vKbhNyfCDFFfdU3xspnTY4mhhkfVdPwbyX\nLQMlYR9BEBpBA3Oi0pqkWuyTEg6Zckw3PbaPc258nLmbtvGZLTsIh1TWbMPe9FtOm5B4kzlTOXIs\nyUc3/5rV399BayxCc6S8mUo4HOLdrTG2rF3MnKmi8C4M44e2EcLox+u9hzIdz8FZ0nnv55cwdXyM\nbRvOzShd3PqrXpqjYZoj4ayd4ZtXddLeGhvRidSyh8o5wwGySuRtZM/N2KQaLTlBCCKy0srBKXPz\nh7dPcPVSM2fUccMjbOrey9VLOxgYSuflnia1xkgMZmsWLp8/nd9cdz6JpKUlOGDOfquZqRTSjEsb\nRlkKGcLopxotOUGoBa9W9uK0cnCWdBqaTIGFPRBcc/8eDCP/caGQorUpkgkbruiczlc/fjpDaYMr\n7jEdzZ1P7K/6JBcalP7i3qdojUXYsnYxz3/9ErasXSwz6zGKyDMJbuKl8LI4rRycmlzTJ7QUHghi\nhQcCZ+jvayvO5PhAOquq0NYSrOYkFxuUchXexWGNTarVkhOEavByZS9OKwdnSaet1r58/nS2bTiX\nF76xjMc2/ikDjhOTu0QGMu1BTm6PF9QSrOYky6AklMIPpcjC2MHLlb1k63NwrpZaoiFuXb2Q43kb\nhzsz1X7Fkt+JoTRvHEuW1BKs5CSLZpxQChFJFtzES+Fl2ac1Ava+qkJ7oYCMDlfu/+LRcNY+r7Uf\nPIW/uHdXTXuqRDNOEAQ/0KBqVdEerAcjdQEu9r+QUrQ1R4lGQnzuQ6dw1xMvcuOl8/KEbitZKYlm\nnCAIfsDLlb2MfCNQahls3y62RA6FzHJ4Q2s2/7KX3iP9mR5bvYePS6WfMCKyuhb8ileTaAkPjoCz\nB1Z2D6swSqmylshOOX8bkVsSRkI2DAtjjLIu6oY5LaXUncDHgMNa67nWsXbgPmAW8BLwP7XWbyql\nFHALsAxIAJdprZ+yHrMWuMF62q9pre8e6bXr6bQgW+8vd/AARpwJy+AjVINMdoRKCfjK3HOndS5w\nHLjH4bS+BfRprb+plLoOmKi1/rJSahnw15hOawlwi9Z6ieXkdgKLAQ3sAhZprd8s9dr1dlr1GDwC\nfjEJHmBozWlfeYSUYy9fJKR4/uuXEFJy7QjZjILJsbeCuVrr/wD6cg7/GWCvlO4GVjiO36NN/guY\noJSaBiwFHtVa91mO6lHg4kbZXIyR9iSUI2fitcikEDxkb55QCWNFysvtGMNUrfUhAK31IaXUFOv4\nScCrjvsdsI4VO56HUupK4EqAmTNn1tVoe/DIbScyMJSmOWKWtr+ZGOLk9jhvHEsyMR6lrTkqjkmo\nCdmbJ1TCWJHy8ktgvNDorksczz+o9e3A7WCGB+tnmjl43LZ6YYHuxJ2g4VgyxfUPPpM5/u1PzSMa\nCZXVH0sY/VQbGpYNw0IleLnh103clnF63Qr7Yf0+bB0/AJzsuN8M4GCJ464SCinCoVCeeO66rp48\nUd3JbTFSaU1zNJwXKpR+R2OPWoVFR2NYWb4HjWGsSHm57X67gbXAN63fP3Uc/6JSaitmIcbbVvhw\nG/ANpdRE634XAde7ZaxzhhyPhbN6a/3h7RMYOnvz8fL504t2Lobikk+jYSDyCr8XuDjzDEAmz1BO\nEY/f31s1jIJiAd8yVlbmDVtpKaW6gO1Ah1LqgFLqckxndaFSah9wofU3wMPAfqAX2AL8FYDWug/4\nB+BJ6+fvrWMNJ3eGfORYMtNb60s/7kED1z6wh9fePJFJlpcSxR0rSVI38bI9QrlUm2cIwnurBvke\nNJbRuDLPpZHVg6u01tO01lGt9Qyt9R1a66Na649oredYv/us+2qt9VVa6/dorc/UWu90PM+dWuvZ\n1s9djbI3l9wv12DKyIQB//LDszO3v73tOb7zqfl84NRJJUVxx0qS1E2CMABWWwGYGPT/e6sG+R4I\ntSKtSYqQ++Vy9taaPWVcJlT4T5/uBDTf+uQ8TpQYoKR8uf4EYQCsJs9gGHpEzcugIt8DoVbEaRUh\n98tl99YC+MPbJzKhwo4bHuHq+/egFERCFB2gxkqS1E2CMAA68wzldpdODKV55WjC9++tGuR7INSK\naA8WITdhvO782aw8eybrt/bwrU/O49oH9uQrZKyxEqBFkuejMbHuJaM1qW9ozcb7eth4YW5RTyeT\nWmOBfm8g3wOhKN7KOHlJvWScDEMzkEpjGGaV4MBgOlMxKPI6/mA0DoC2bFjuZvYp42Oy908YzXgr\n4zRa6E+mueIes4Lr8rt3cmIoTSLp/7DUWGE0VkvZIbQjx5J8dPOvWf39HbTGIplu2YLgJV7vs5OV\nVgmKCeXecdli+pPpUReWEvzDaFxBCsGnwSF56VxcK8Wq05qjYZoj4VG/iU/wDulSLfiRWjbL1wsJ\nD5agVHXaaAxLCYIglMIP20zEaeWQThscGxjC0JoQsHlVZ1Z57m2rF4LGt7ppXsebhfKRcyUEDT9s\nM5GcloN02uBo/yDrtw53KL519UIiIUU8FmFgKE1/MsW6Ah2M/bDSGq0l4KMROVdCEPFDTkucloNj\nA0Ncec+uvMKL29csoq056vv25363TxhGzpUQVBpYJCSFGJXSGosUjNe2WoOIH+K5pfC7fcIwcq6E\noOJ1kZDktBz0J1MF47X9yRTQ+HhurTkOP8SbhfKQcyUEGS/zseK0HMSjYW5ZmV14ccvKzowuWiN1\n0+rRikJ03dyhHl9YOVdCUPG6bY7ktHJIpw0SQ2laYxH6kyni0TDh8LBvb1Q8t145DtmU2ljqmYiW\ncyUEkQbmY0XGqRrC4RBtzVFCStHWHM1yWNA42aB65Thk/1hjqWcPLzlXQhDxOh8rTssnSI4jGHj9\nhRUEr/F6rBKnVQP1SkYahiak8jcyS47Df3j9hRUEr/E6Hys5rSqpV27D+TxTx8fYcMFpzJwUJ5E0\ncx0SMvIXbm4KlpyX4FcadG3K5uJGUq9kpGwyDR5uOBNRzBD8jJdOS0bFKrFzG8vnT8806us9fJyW\naGURV8mRBA83Nlf6QU1bEArh9YRKclpVkhhMs+782Vx9UQebuvfSccMjbOreW/F+BcmRCIWQyYzg\nV+pZQVsN4rSqJB4Nc9k5p/Dln+zJOnnru3oqOnleJzUFfyKTGcGveD2hkjhDlYRCinHNhbUKKzl5\noZBiUmuTNJQUsrAnM7khGJnMCF5jT6iceXh7QuVG6FqcVg3U6+R5LUAp+A+ZzAh+xesJlVQP1oDX\nCUlBEAQvkJL3OuOW0wLZSyMIglAnpOTdDSS0JwiC4B5SPSgIgiAEBnFagiAIQmAQpyUIgiAEBnFa\ngiAIQmAQpyUIgiAEBnFagiAIQmAQpyUIgiAEBnFagiAIQmAQpyUIgiAEBnFagiAIQmAQpyUIgiAE\nBnFagiAIQmAIjNNSSl2slHpOKdWrlLrOa3sEQRD8hmFojidTGNr6bYy+Lh6BkCVXSoWB7wIXAgeA\nJ5VS3Vrr33lrmSAIgj8YK/39grLSOhvo1Vrv11oPAluBP/PYJkEQBN+QGEqzrutptu8/SsrQbN9/\nlHVdT5MYSnttWl0JitM6CXjV8fcB65ggCIIAxJvCPPlSX9axJ1/qI94U9siixhAUp1VobZsVrFVK\nXamU2qmU2nnkyBGXzBIEQfAHicE0Z81qzzp21qx2EoOy0vKCA8DJjr9nAAedd9Ba3661Xqy1Xjx5\n8mRXjRMEQfCaeDTM5lUL+MCpk4iEFB84dRKbVy0gHh1dK61AFGIATwJzlFKnAK8BK4E/99YkQRAE\n/xAKKSa1NrFl7WLiTWESg2ni0fCoKsKAgDgtrXVKKfVFYBsQBu7UWu/12CxBEARfEQopxsXMYd3+\nPdoIzLvSWj8MPOy1HYIgCIJ3BCWnJQiCIAjitARBEITgIE5LEARBCAzitARBEITAIE5LEARBCAzi\ntARBEITAIE5LEARBCAzitARBEITAIE5LEARBCAzitARBEITAIE5LEARBCAxKaz3yvQKGUuoI8HIN\nT/Fu4I06meMmYrd7BNFmCKbdQbQZgmm3lza/obW+eKQ7jUqnVStKqZ1a68Ve21EpYrd7BNFmCKbd\nQbQZgml3EGyW8KAgCIIQGMRpCYIgCIFBnFZhbvfagCoRu90jiDZDMO0Oos0QTLt9b7PktARBEITA\nICstQRAEITCI08pBKXWxUuo5pVSvUuo6r+1xopS6Uyl1WCn1rONYu1LqUaXUPuv3ROu4Ukpttt7H\nHqXUQo9sPlkp9bhS6vdKqb1KqfV+t1sp1ayU+q1Sardl899Zx09RSu2wbL5PKdVkHY9Zf/da/5/l\nts059oeVUk8rpX4WBLuVUi8ppZ5RSvUopXZax3x7fTjsnqCUekAp9d/W9f0Bv9utlOqwPmf75x2l\n1Aa/252F1lp+rB8gDLwAnAo0AbuB93ltl8O+c4GFwLOOY98CrrNuXwfcaN1eBjwCKOD9wA6PbJ4G\nLLRutwHPA+/zs93Wa4+zbkeBHZYtPwZWWsdvA/7Suv1XwG3W7ZXAfR5fJxuBfwZ+Zv3ta7uBl4B3\n5xzz7fXhsPFu4PPW7SZgQhDsdtgfBv4A/HGg7PbaAD/9AB8Atjn+vh643mu7cmycleO0ngOmWben\nAc9Zt78HrCp0P4/t/ylwYVDsBuLAU8ASzE2XkdxrBdgGfMC6HbHupzyydwbwC+B84GfWYON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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f7183c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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76qVpAvlRLhD5QpkOXSAkBrl0gn/4szm83lfi1Mk5nuvJ85a2lIaspSWNdbzr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\nJUlqw9CSJLXxA9YlTM1/BsxSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1103d00f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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iYxI5ZNWaz8BJxzI4XMU5GByuMnDSsVQ1oZ94GtlIp3JlkqC1SrTX3FQbrc+H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\nS0REUkONloiIpIYaLRERSY3/H6BZGZw9tdr+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1109b0e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SJ50a99xlTJv0iXsCB+589Qf7OO/dbwMaJYM2/uAFLj/7tA6PTESkc8rVgEIu3XIw1qz5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\nBSQREYkFBSQREYmF/x9wrCuBiiFOZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fe88b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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s4VGUiBmIZaQsW3jMECQ4QtaaKVI1QbXJzobWmOVdI4WidANKk2RdZsTQmJ11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\nzsaKuZdgRHOcDZfGMjkPOU/hnqd2F6/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OeWWlSR6ePRkpBg4SERWFFfjEoUMFTwF3rd9V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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11077c438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9N6kHCaJwzBTGdYIM51j162784GpBidfTG8FDr/Zgw3da4GGF1fkjKoqyqwff0BnEswav\nWQMgxyBxzp81eh1BEPZRrvJAsUQap8/GMX/ja/K2KyaNyAr/UUiOoIoYBEFkUa7yQG5S5BVT7Jdw\nFuqnRRBEFuVseeGG8F+ttvxwAaYuLhktgiBy0DIeAMpuUEpBuXJ6BDWBJAiiQNS5o1ryPmq15Uel\nQDktgiDyUksNB2u15UelQEaLIIi81JL34SZBCJELhQcJgsiLlWoUlYCR4CNfNQ27xSJuEJ9UEuRp\nEUQJqVQpdTV5H2YqfuhV07C7Wogdx6vUz1ShkHqQIEpEpYsZqsUjKEYdaLeysNjjVfpnSoWpAZOn\nRRAlotLFDNVSy6+Y/Jzdub1ij1fpn6lCIKNFECWilsQMbqYYdaDdysJij1eLnykyWgRRIkhK7Q6K\nyc/Zndsr9ni1+JminBZBlAgh/xDH8u3divxDC0aEgxUbaqtUisnPuUk9WIs5LTJaBFECMhkuTEhB\nL84OJNEQ9OHEZwMYHvJjSJ2/EicYQkE5RSrVIpABlXEiCHeg9TS8dlEzNrx4BGfOxammXYVTbm+n\n1tq1UE6LIBxGS+F199MHcOc1TVWfNK8FalHBV07IaBFEgZhd1Kmn8Goa1VD1SXOrVOJC2VpU8JUT\nMloEUQBWKhnoKbw+7o9VbFUJJ7C72oRdY8pnRGtRwVdOyGgRRAFYCQlpy5pbMGpo0FUqr3J7OW4L\ns5k1onbI4Mt97SuJ6s/aEYQDWAkJ5SvAmg871GH5jlFuMQHgvjCb0ogCkI2oWjijdX/rfR7T98wN\n176SIE+LIArAakio0BJIdhVUzXcMN3g5bguzWX0wke5vyO9Ffyxp+p654dpXEmS0CKIASlX13GhC\nMxtSMjMpusHLcVsl+UKNqO71TqQ175cbrn0lQeFBgiiAYkN+ZjGa0Poi5kJKZiZFN/TLKtU1NYtk\nRNXXOJ8R1b3eQS/+ZuvunPsVS5b/2lcS5GkRRIGUouq53tN+NJ4yHVIy4zG4xctxUyV5pRE9smYh\nti5tRWPIL3i5BagJj/fFNO+XW659pUBlnAjCxegl6RvDfky973mkFJOmz8NwZM1CeBgzdQy1V+bG\nckBuGpOV65i7XwvW/PZ97Ow+Ke+nvF9uOs8yQmWcCKLS0QuZWQkpmQ27OV0OyOrE7DZVXTFqQg8D\nTp+NZx1Peb9qrRRTMVB4kCBcjlbIzGpIqdxht0JUkG5T1ZnJDUriGNln4IIRqvNRCNAuyKQTRAXi\nNtFCPsx6KUrcpqrLJ1bJ5xlW0v1yM+RpEUQFoZS5S0l8N4gWtMZXrKzbdeu28ni3+TzDcnu71QJ5\nWgRRIbgtx2NlfIXIuguVnDtFPm/JbZ5htUKeFkFUCG7L8agxGl8hsm4tyXm5DbSRt+Q2z7BaIU+L\nICoEtz/JG43PwwrL6VSSqs5tnmG14u5PAUEQMm6oWmFEvvFVkgEqBBJblAYKDxKERcrVRsLtlRPc\nPr5SQGIL56GKGARhgXKLIZysnFCKFigEYYCpDwp5WgRhgXKLIZx6krerazB5GoTTkNEiCAu4XQxR\nKOU2xgRhFjJaBGGBapU1V6sxJqoPMloEYYFqFRtUqzEmqg8SYhCERapRbFBugQlBwKQQg4wWQRAA\nso1xNJ5CKODFQDJTFUaZqAjKqx5kjI1njL3CGHufMXaIMbZC3N7IGHuRMXZU/H+4uJ0xxjYzxnoY\nYwcYY7MUx1oq7n+UMbbUqTETRC0jtTzpiySwbNteTL3v+YJVhLVIudbv1RpO5rRSAP6ec/4lAF8B\ncCdj7MsA/gHA7zjnkwH8TvwdABYCmCz+WwbgIUAwcgB+DGAOgMsB/FgydARB2Eu1qgidNih2LRkg\n8uOY0eKcn+Kcvyv+fA7A+wAuBPBNAI+Luz0O4Abx528C2MYF/gBgGGNsDID5AF7knPdzzj8D8CKA\nBU6NmyBqmWpUEZbCoBgZe/LA7KUk6kHG2MUAZgLYDWA05/wUIBg2AKPE3S4E8LHiZSfEbXrbCYKw\nmWpUEZbCezQy9uSB2YvjRosx1gDgaQArOednjXbV2MYNtqvfZxljbA9jbM+ZM2cKGyxBVBBOPMFX\no6TfKe9Ref2j8RSWz23K+vtlFzcK26sw3FpOHC21zBjzQzBYv+KcPyNuPs0YG8M5PyWG/3rF7ScA\njFe8fByAk+L2q1XbX1W/F+d8C4AtgKAetPE0CMJ1OCVRr8ZK5U5Ux9e6/puWtAAANr/cc74tSRWG\nW8uNk+pBBuAXAN7nnG9Q/KkLgKQAXArgPxTbO0QV4VcAfCGGD3cBuI4xNlwUYFwnbiOImsXJkFe1\n1Q90wnvUuv4rdnTju1+dmNWwciCZqbpwa7lx0tO6EsDNAA4yxrrFbT8C8M8AfsMYuw3AcQCLxb89\nC+B6AD0AYgC+CwCc837G2D8BeEfc7yec8+xHF4KoMegJ3jx63iMARMT1aFY9Sr3rH1YYe4AaQzqB\nY0aLc/4G9BeLfV1jfw7gTp1jPQrgUftGRxCVjdsbQroNdQPKYsOrZq9/NYZbyw3VHiSICqQaBROl\nRC+8Gk1oC1vUopd6n8f09dcKt5IMvnDokYwgKhB6gi8O/fCqD1PufS7L8wKg6ZU1hvwFXX+q81gc\n5GkRRIVSqGCCnvL116P19EZyhC16XtlAKlPQ9a/WqiOlgowWQdQQVG5IQCu8unZRMx58pUfeRxK2\n2C16IRFNcZDRIogagp7yBZTh1SNrFmJLx2zs3HcCXftPyvtIwgq7q4RUY9WRUkJGiyBqiGp8yi80\n3KkMr4YDPrTPuUhTWGG36IVENMVB/bQIooaIxFO4/fE9WVLtKyaNwNalrRUplbdT1GDU3NPuxp/V\n2EjUBsrbT4sgCPdRbU/5doY7jYQtdlcJqbaqI6Wk8h6tCIIomGqTyldjuJMwhjwtgqgxqukp36qo\ngeT+lQ8ZLYIgKhYr4U6S+1cHhkIMxtiNRi9WtBtxFSTEIMoBJdfLg9nrXowIhe5tSTB1QfPltP6X\nwd84AFcaLYIoNVSap3yoi+HqUWj+i+6tuyDJO0HYQLVJyauRQu9RLJFC79k4xjeG0NMbwYOv9ODM\nuTjdW/uxxdM6fzTGvgFgGoA6aRvn/CfWx0UQ1Qep2OzFiXBcIb2tMhmOaDyFe545KL9m7aJmbHjx\nMN3bMmHKaDHGHgYQAnANgJ8D+GsAbzs4LoKoKKi/lX04FY4rRO4vrAPrlu/rW8f6cPfTB/DAjdPp\n3pYJs+rBv+CcdwD4jHP+jwCuADDeuWERRGVRbYt2y4mT9RGtyv31POgJI0J0b8uE2ceEAfH/GGNs\nLIA+ABOdGRJBVB6VuGjXrYo4p0KthZyvrgcdT6Ohrjgvy63X3+2Y9bT+izE2DMA6AO8C+BDADqcG\nRRCVSCUt2nXzmiUnqqAXer66HrQNBtSt19/tWFYPMsaCAOo45184M6TiIfUgQRjjZrWjEzmtUq/R\nyvcaN1//MmKfepAx1qGxDZzzbVZHRRBE+XGz2tGJUGsx52t2HZiEGaPr5uvvdsyGBy9T/PsagE4A\nbQ6NiSAIhylHI0Irdf/sDrWW8nzNCEnMjodqJeZiymhxzv9O8e92ADMBBJwdGkEQTlFqtWO5czil\nPF8zXpSZ8ZT7mrmVgipiMMb8AA5wzr9k/5CKh3JaBJGfUqrXypHDUZ9fvc+DgVTG8fM1e66U98rB\n1pzWf0KoNQgI3tmXAfymsHERBOEGrOZqiqHUORzDvBJjjp6v2cob+a4/5b20MXvn1it+TgH4iHN+\nwoHxEARRhZS6YogyrwRAziuVwkuxS0hCVVa0MSvE2APgdc757wGcATBLDBESRFVACW9nKXUOrdxe\nih1CEqqyoo1Zc/0agK8xxoYD+B0EI/YdAH/j1MAIolTkkyhT5YLiKXXFkGrwUiqxykopMCXEYIy9\nyzmfxRj7OwD1nPOfMcb2cc5nOj9E65AQg7CCUcI75PdSL6UKRPkgMnpoECvnTcGEESHE4sLDRyH3\njh5eHMfW1iSMMXYFBM/qNouvJQhXYxRKiiXKlxshCkfyUn5xSyui8RSWb+8u6qGDGkG6B7M5rRUA\n7gHw75zzQ4yxSQBecW5YBFE6jBZ62pkbobxZafF4GDIccmuRYirGO1l5nrCG2cXFr3HO2zjna8Xf\nj3HOlzs7NIIoDeqE96p5k/HIzbMRCniFp/S5TVn7F1JJwe0LRavVoNr10FFuYQdxHrPrtEYC+CFy\nOxfPdWhcBFEylAnver8HfdEE7nhirxwG2rSkBQCw+eUeU91utSinBDsf1Rz6skuQUQ3CjmrBbHjw\nVwD+CKGH1j9CaE3yjkNjIoiSI0mUB5IZrFCFk1bs6MZ3vzoRR9YsxNalrQVN5m5+Uq/m0JddsnGS\nn7sHs48IIzjnv2CMrRDXav2eMfZ7JwdGEOVAz7iEFWtuCsHNT+p25+2KVdjZqdKzSzZO8nP3YNbT\nSor/n2KMfYMxNhPAOIfGRBBlw6lq4G5+UrfrnO3I2xVzDL28nF0V4yupyWc1Y3ad1l8BeB3AeAD/\nD4ChADo55//p7PAKg9ZpEYXiZH6nUA/C6fVBdp2zHQVeCz2GmXOopXVWFXqupgZo1mg9DmAF5/xz\n8fdGAOs557cWNUSHIKNFFIObvvClEknYEtbjHFPufQ4phVfk8zAcWbMQHmbuWIUcI5PhiCZSWLZt\nr66xK6fYpNSfpwoW1pganNnwYLNksACAc94PoacWQVQdbgoDlUokYcc52xFmtHoMaYIOBXyGebly\niU3KsdShmoU1gHmj5RHrDgKQPS3SeRKEDRitkXKz6lCNHXk7q8eQJuie3oihsSvXdSyHAQkFvBg9\nNIhdK6/Cn356PXatvAqjhwZd+ZkpBLOG518A/B/G2L9B6Kv1bQBrHBsVQdQI+UI5blYdqvF4GBpD\nfmzpmI1w0IdoPAUvYwATclVmwmJaKr16n0c3vCYZowdf6cHaRc24++kDmj2snL6OeiHAchjLwWQa\nq+dPxV1Pnb8W6xY3YzCZRijgrs9MIZjuXMwY+zKAuRDijr/jnP93nv0fBfBXAHo555eK2zoB3A6h\nvQkA/Ihz/qz4t3sg1DVMA1jOOd8lbl8AYBMAL4Cfc87/Od9YKadFVAr5hAeVlJ/QGuu6xc1Yv+sw\nTp+NO1LzT3n92maMxZ3XNKFpVANiiRTCAV+WCMPKdbSShzI69mAqjd6zcYxvDKGnN4IHX+nBmXNx\nRxeVRwZTuH2bxmeqoxUNda42WvYJMQp6d8auAhABsE1ltCKc8/Wqfb8MYDuAywGMBfASgCnin48A\nuBbACQgLmtvzGUwyWoQb0ZoIwZBXeOAmYYgRega4s20a5m98raBW8XYadbPX0aqB0xujVrHedYub\nMSTow5A6v2P30A5BTJmwVYhhGc75awD68+4o8E0AOzjncc75BwB6IBiwywH0iLUOEwB2iPsSREWh\nl5CPxfMLD9wkDDFCLxTWNKpB/tnumn/KcKK6YomUK0xnMjg3mDw/JXIYXkereSj1GNtmjEVn2zTU\n+b2IxtMYOSQoH+eupw7A6/E4eg+dWmvoFhwzWgb8LWPsAGPsUYW440IAHyv2OSFu09tOEBWF3kTo\n8cC1i46tojdZ9vRG5J+tTpxmJmAtoy49JDz6+jF88tkglm3ba1q9ZzUPpRxj24yxWH3dVHR2HcKU\ne5/DPc8cxOrrpqJtxtjzxwk6e2/dvJDdDkpttB4CcAmAFgCnIAg8AG23kBtsz4ExtowxtocxtufM\nmTNauxBE2dCbCOv8Xl1PodLQmizXLW7GQ6/2lLzmn/SQMP/SMbj76QOW1Ht6hjKqU/1eOcY7r2nK\neb+7nz6AO69pko/jtMdj5H1WAyXNynHOT0s/M8a2Avgv8dcTEKptSIwDcFL8WW+7+thbAGwBhJyW\nTUMmCFvIp16T8jx6+Z5KyGvlKP/iaXg8wIbvtJS85p/0kNA0qsGyek8yQsqc1tpFzfjlGx+gfc5F\nOQZAPUa9EKkVw13s/Za8T0D/M1WplNTTYoyNUfz6LQDviT93AVjCGAsyxiYCmAzgbQjCi8mMsYmM\nsQCAJeK+BFFRFBOycXsvLiVZobo6H0KB8tT8kx4S8q3f0nu/EeEAtnTMxuH7F6KzbRrWv3AYG146\nquulSWPU89IGEmnTHo/b73e5e685qR7cDuBqABcAOA3gx+LvLRBCfB8CuINzfkrc/14AtwJIAVjJ\nOX9O3H49gI0QJO+Pcs7zrg9EX69/AAAgAElEQVQj9SChRzk9lkLfu5h6fG73zpxCmvi37/4IN8wc\nl7N+y5TxKLCkVLFLFCLxFB59/RjmXzoGTaMa0NMbwa73TuHWr00qu9fk8BKM8kreywkZLUKLSlrz\npMRo8owltI1SpZ6rnUhGu97vQSyRRlj0hNz+sJDOZPDJZ4NZhnbtomZcOLwOXk85tHPnsaMosgHl\nlbwThNuo1JpseiGnyGBKN4RUqedqJ1LIzuvxCOui8oQX1WGvep9HN6RrFCIrdolCLJHWFHMUI+Cw\nK6TnhrJiZLSImsENX7hC0MqHbWpvwWNvfqBrlCr1XMuFVh6pP5ZEY8ifo8ID4GjOKRzULv4bLtCT\n0cuRpdMZy4bMDWvAyGgRNYMbvnCFoCdh3vxyT9Z+WVXNizzXcifbS42eZzqQyuR4TU57sXZ/TrXG\nu333R+iLWTe8blgDRkaLqBnc8IUrFHXIaSCZMa5qXiNqRbuw4pnm27dYg2/351RrvPMvHYMV27st\nG143rAGrLgE/QRhQ6JofN6K1lkg5sRVzrsoncwDyhOZkkddCsUshaaUKvNG+Ib+3aAGM3Z9TrfEW\nsn5NOb5yrgEj9SBBVChOSdorpeCqnQrJfMfKutbxNNKZDL7/5Ls5+8aSaSfVdQWhdW6P3Dwbdzyx\nFyOHBOXK+B/3xzBqaLCc7UtI8k4QRC75jJ3DsmbbsHucetdF26C1IBz0oc6v2telBl99bvU+DyLx\nFM7FU1l9tza3t2BEOFiu6ANJ3gmiGikmZ2ImX1UpuT+7FZJ6UnVt4UU3Mhy5+7pU7KM+N6/XA6/H\ng7ueUtdl7Hb9sgj3PDYRBJGXYkNiZvNV9X4vfnX7HLl+YJ1Pv/dUuapu2NmN2Og8zBrHTIYDHPjV\n7XNwvC+GjS8dkZtfus3gA0AoWJnLIshoEUQFUaxIwozyTcso1vlyJ7JyV93IJ0YxS77zUBpHZXfk\naPx8d2TDEKKOwc83JqcfBuw0+qWEwoNE1VALa4uKDYnlC1+pQ2EjhwQRjacAhpxrWu6qG4XKr9Wf\nk1jC+Dwk47hq3mS5V9bU+57Dsm175dCqYQixQFGI00sOKiUMrIaMFlEV1MraomJzJvkmKqVRlBoa\n3vPMQc1r6oaqG1ZLJml9TvKFySTj+N2vTtTtzWXntSjVw4Ab1lwVAhktoioo91N/qSj26TjfRKU0\niloNDZXX1K2iAyO0PifH+2KmuiPrlVeSQnhmr0W+iEApHwaKrZNYDshoEVWBG576S4EdT8dGE5XS\nKOZbgFqJ4SWtz8nGl45gc3tL3vMwMkxmr4WZiEAlPgyUEvdm2wjCAoUmlSux55STFQmURnEgzzV1\nW4URM/dS63Ny+mwc4aAv73kYCT/yXQvl2KLxFEYOCWZ5r0ohjV0Ck2qFFhcTVUEhSrZyq9/cTqmu\njx0PDmbHWuw5FTJWrfdcu6gZ6184DEAIw04e3ZCzoLnSHqZsgCpiELWF1S96pVR+KCdOT552GUYr\n97LUBkFvbOsXNyOdgeWuylVs0KgiBlFbWE0qm8mDlVJG70bJvtOJeqUw4vrpY9DZNg2N4QCiCWvn\nbyWnaec5ad0z9Ta9sf1ZfcBQ6KL3frWgkjWCjBZRs+RLeJdygqjVyUia0CV5vdYaKDMUI14o9GFB\n+57FcW4wmbUtMpjSHFshFSlqRSVrBBktombJp/gq5QRRi5NRJsPlCT2fvD4fhSoZi3lY0FtQ/Fks\nmbXtsTc/wCYNdWIsrm1oI4P6hrNWVLJGUOCeqFnyKb5KOUHU4mQUS6bx2JsfYO2iZlw4vL6o8y9U\nyVhMWSy9eza+MZS1bfPLPbhzblPO2ABgU3sLVmzvzhJoPPbmB7j1a5M0379SSy/ZCXlaRE1jlN9w\ner2MMiwVjWuHkKp5bU4o4MXml3uw/oXDODeYLDq8J6fxOUznqop5WND6fCyf24Rzg0n86afXY9fK\nq9A2Yywuu7gRA8lMzudMMrSdbdNw+P6F6GybhvUvHMbml3t039+OtXFuzJ1agdSDRFVhp7LKScm3\n+tjL5zZhyeUTsGJHd83I75WqOimnVYiSrpClDso1U7984wNseOmo/HczCtJMhgufr6BXrug+6YJw\nzj1ct7gZQ4I+DKnza45HugZWmjEW8xl3+TIPkrwTtYUTX0gn5MWZDEc0kcKybdmdYz+NxBEKeBEO\n+qpNyqyJluG+5cqJaKgzf/5Wly1ofUY2LWnBjrePY/PLPUWs72tBOODDbVpj6WhFQ52+ATo3mCxZ\nM0aXL/MgyTtRWzghZrBb8i1NeKGAD6OHBrMUcyt3dGMwmbYU3ioHdoWX1CWppDyOlWttFN7LGudg\nCrGEEEJUV6RYsaMb3/3qRLksVmPIj1gyrXt+RhXdNccS1A/deTyspM0YqyF3SkaLqBoq4QspTXg9\nvRGsnDdFQzHn7s6xdkvzi30o0M07xtPZ49y2B/3RBFb9uhv3PHMQq6+birYZYwEIn5GwOIaQ34v+\nWNLw/EIBL0YPDWLXyqvk3NXooUGEgt6C8nKlbMZYDXUNyWgRVYOTX0i7vAvJsD74Sg8mjAi53siq\ncZs0X0+Y4PEgZ5x3PXUAP7i6CW8d68PdTx/Andc0ATDuJ6Z1foPJNFbPP+8hd3Ydwur5UzGYSBck\nkiilIanEIsdqyh7EJAi7qPd5sGlJS1YifNOSFtT7ins2szNXJk1QXftP4q75UytOvuw2b1ZP6g6m\nHaprGtWQ9bNRPzHl67KrpEAO5wGQDeLWjtaCZPelLJDrtiLHhUCeFlE1DKQy2PH28SwJ8Y63j2Mg\nlSnquHZ6F8on3X954TDWLW7Wfep1ozTZjeElrRCj3jh7eiPyzwOJtGE/MeXrlOenG84LevPK7tX3\nNJ3OIJZMozHsx5aO2SVpxliJPbSUkHqQqBoynGPKvc8hpZjcfR6GI2sWwsOKqC9n83GVisTBZBqZ\njDARqqt8u1Ga7NZxqdEa57rFzVi/6zBOn43rjtnM+ekp8B64cTrmbfg9Lru4EQ/fNAtejyfrvgKo\n+WUOeSDJO1FbOCHnVcrTSykTdoM0WU/uX+w6oVJVKM96r3gaHg9Q58//vvnGqGcQf/b8YXTtP4m2\nGWPxwwVTVRL2mQgHvbjtsfP3dNfKq9DZdcit8vNyQJJ3orawO8ksTU6/fEMoNVTK5HW5c0dGKsFC\nw0ulLgqcNc46H0IBc2POd3453aM7WrF+l2CwAKE/Vq6EfR8ymew8W77O0IQ2NWnOierE7iSzMpfV\ncyaKzrZpaBrVgFgihXDA2VxAuTsxF1OTr5THLBSt6ySN0cy1U3aPBhO6H0voGiNREi+df09vpOKE\nOG6APC2iqrAzyaz0drr2n8T8ja9h6n3PCWt6HM45FOI12unJOOHpldt7lDDbUsTstVPfq4/7Y7pr\nx5T77XrvFDYtya3+Xu/zuE6A4yYop0UQOpwbTGrmsrZ0zMaQOr/j71/OTsxO5NTsPqaZ3JPW342E\nFFevf1VzbGbeazAliGrqAx70RRNZ1dslgQWQ7c3V+zwYSGWyfu+PJV0vdHEIUydIPihB6BAKeLF2\nUXNWEde1i5plz8BpUYEyBGVmUrfTk7F77VAmwwEO/Or2OXKBWUnFF/J7LV/LdDqDvpi2YcinvjTb\nUkRZDiqfopBzjlSaIxz0oac3gmNnzuGRm2dr1lFU39MGr0f+PRJPuSaE6lboKhCEDgPJDHbuOyHn\nsnp6I9i57wRu/dokhPzMNum3bXkoG3staeUH632egsapW2A26EOdL1cKbuSZSEYzmkhjxfZu3cld\nL3+2pWM2GJjmdfq4P5Y1buX6LCNDksnwHAOary+WHm4JoboZymkRVYkdC3NDfi/a51yUVa6nfc5F\nCPm9ti04tjUPZbN6UpkfNFOTT++aGxWY9XiY/PeRQ4L47fKv4cnvzUE0nkIilV0/8NHXj8l9szyM\nYfTQYNZ4lZO7/uTvQzqTweacTsItGB7ya1479bHaZoxFZ9s0hAJenBtMYjB53oBK53f30wcw/9Ix\nlo1NvsXNdi84d+MC9nyQp0VUHXYtgDVSI9r1RGynoi6ferIYjy7fOAsJxykNzOihQay6Nruf1iM3\nz5bfs23GWNwwcxzueGJv1tqoDIcsNVd6lXpeZ09vBJ1dh/CLW1o1OwlrXbuI2KBTv+9Xi6YBbRrV\ngFg8DTCYvuZGYdl0OoNoIo1w0IejpyPY9d4ptM+5qOB8V6UsFFdDnhZRdeh5QYOptOWnSj01ol3l\njOwOB+mNV+nRrfp1Nz49FwcYEBk0dx30xlnv98jej7rlh+R55rtWsURas+J9OOiT3/POa5py/n7X\nUwew6topuKFlLF5dfTV+dfscgAvnquV1rl3UjAdf6cE7H/ajzu/V7CSsde2EYwmemdY4lm/vxsp5\nU3LOLxpPIZ3JaHqneh5OzhowsaQTAPTFErjjib2y13/DzHHYvvujgosVu634sVnI0yKqDq0JdvTQ\nIKLxFJbrJO4tv4dNQgUzeSg7cl7KEJzaozFzHbTGuXxuU45Kbu2iZgCC9yMbXw5sbp+J7bs/wvxL\nx6BpVAOi8ZRcyDjk92pWvFeuY9Jb+zRhRAj3fuNLmvd1RDiALR2zEQoI4oj1LwgLgK+YNMJyni/g\n9eCBG6frVuafMCKEKyaNOF+oub0FAS/Ddx/bm+uddrRiQLwfWvdAS4ATiadycnh3P31ADlMWQqXm\nzxzztBhjjzLGehlj7ym2NTLGXmSMHRX/Hy5uZ4yxzYyxHsbYAcbYLMVrlor7H2WMLXVqvET1oPVk\nv3LeFCxX5R2KearUeyK2aky0PIJN7ecr09uV85ImKG1PQbgORvmNep8Hj9w8W+4ftWreZNxy5UTN\nXI665YfHw9AY8mPJnAlyfvCOJ/aiP5aUK2zE4rn3bNd7p7BRXMckGTAlkjejd189HoZwwIf+aAKd\nXYfw7MFTBeX5Ysk0vv/ku7h6/as4elp7HKe/GMwu1Lz7OAJ+/cK6Vj0cPQMjLHYv0NNyYfFjMzgZ\nHnwMwALVtn8A8DvO+WQAvxN/B4CFACaL/5YBeAgQjByAHwOYA+ByAD+WDB1B6KFlCJzoXWXHQmZp\nQn/k5tlZE540oZsJ4ZhJpksTlNpjkUQF9X4PPo3GdUNZ/bFkVmhqyZwJaKjz6U6kkrhBWig7kMzk\nGDjleYQCXmxSiSNumDkO737Ujy0ds9E0Kpzz983tM/N6C3Y8XCjf48FXejRKerVg7fN/xPyNr+GS\nHz2L+Rtfw+aXezQNsbTI2OpnUc/AROOpgoU2ldpby7HwIOf8NcbYxarN3wRwtfjz4wBeBXC3uH0b\nF1Y6/4ExNowxNkbc90XOeT8AMMZehGAItzs1bqLy0RIkSBOIG0vmDKQyuOOJ7EXMbx3rl8dvNMGZ\nTaZLE5RUrUEtKuhsm5ZVvFUptAByJd8rtndjS8dszWs6kEjjgRunC16OuFD2ye/NyW9cQgE8cvNs\nea3Tzn0n0D5nArweBgaGC8LBHKFELKlzX+NpNNT55GNbWe+mRhka7dp/ErMmDMNDN83C0Ho/ovEU\nUhmeVcZJGsMXA4mcdX5Sg0rlmNtmjMWqa4WcWEQ0QmqjqhWO3tTegnCg8LWBZsqelbLAsVlKLcQY\nzTk/BQDi/6PE7RcC+Fix3wlxm952ogIppbxW7QWFAsU/VTo1fiPDNJhM46VVfymH5dpmjLXcaRc4\nP0GNGhrUFBUYFW81Gp/a+1m7qBk/+veDmLfh96gLnA+D6YX3lKEor9eDhqAPA4k0Jo9uQFvLhVjz\n2/dx22OC1wcgx7NViiSkMaxb3Ix0JmPf/VF4JDe0jMW8L4/GD558F1PufQ7Ltu1FLJ7G//t/ZX+2\n1i+egbXPH8bOfSdy+mTV+bKP98MFU3HPMwcNw79aHuMF4SC83uKmcKNoQakLHJvFLUIMLdPNDbbn\nHoCxZRBCi5gwYYJ9IyNswaxH4NSTXbHFdJ2UB+uJMQaTaUTjKdzzzMEsmfeQoM9Sp10JQaovLOhV\ne3FGxVuln0cOCeLOa5rQNKoBH/fH8D9fDOLpvSeEyg9BH46qxQ6KMJgUVlN7HeqHBo+HAQz4m627\ns0UfOssAPB6GcNCHB26cjvGNIfT0RvCz5w/jzLl40VUklJ/Fer8Xv7ilFZkMcPu2PVle5+qn9mNL\nx2z86vY5iMXTiCZS8ABoGhnGkjkThM8ZY1ljkT6L4LnHc0sFDDcVOFZSak/rtBj2g/h/r7j9BIDx\niv3GAThpsD0HzvkWznkr57x15MiRtg+cKA6zuRknnuwkDylfV9lix6/3vvk8M73cQiaDHJHBXU8d\ngNfjKUp6Lz1dK1+rnasRF9f6vXj4pln44YKpspDinmcOAmDoORPFHU/sRSSeyhE7SGEwQFATrn/h\nMB64cXre3JJVVVud34t5G34v55OylIsFkvNZ3LYH0Xhav2txwCfvF09msP3t47jlyonY+2G/nJ9U\nIt0D/eNlj70cXo9b1YWlNlpdACQF4FIA/6HY3iGqCL8C4AsxfLgLwHWMseGiAOM6cRtRYZj5AmgZ\nhu27P0I0UXhITq+id8ziMa1+ga1MMnpiAcO27tK4ikim1/s8cnjv2YOnsHOf4DWpjYrHw+D1eHJ6\nRK1+aj/uvKYJ73zYj4Y6X874lWEwn4fhzLk4wkFf3ocGq4a4WBWc1sOF3kNKVFxorH6vnt5ITjWM\ncNCHaWOHGa6lMjv2cqypcqu60EnJ+3YAbwGYyhg7wRi7DcA/A7iWMXYUwLXi7wDwLIBjAHoAbAXw\nvwFAFGD8E4B3xH8/kUQZRGVh5gugVS7nhpnjsGzbXktPl8pJKJpIaXzZu9F7Nm7pmJYnUouTjFZu\nwcx7FqqOkxSBO3Yfl6Xat1w5UUjsa+Q3lAa0bcZY7Fp5FZ783hxcOKwey+c2yYIW9WLdQsZm1RAX\nY7j1Hi6MHlL0Fi0r92sa1YD/+WIAGc7xt1+fLC96LnTs5fB63KoupNYkREkwkxNSt4wopB25+n0O\n378QU+97DinFhOHzMBy+fyEu+dGzpo5pdvxZ+3OOKffmvu+RNQvhYeXPo1ltEyLtP3JIMKeM0aYl\nLRgRDhQtClBiNbdZaC5U7zps6Zit2ZZm69JWWbUYCngRjafwyzc+wIaXjmbv19GKLwaSWP3U/rz3\nzszYnWgVY4YSqwepNQnhHswIIdSy3kLakauTx3oCg5OfD5g+ptnxZ43Dhorreu8JiNLoIiYSq0/u\n0r2JxlOy4hAQ5e87uoXJ00ajZVWmXqisPZ9HpVXxRPle4YAP7XMuwlvH+uX9Ni5pQTSewuqn9huK\nGJQGAYAcNtUcp00VWKwaoWKXCziBO0ZB1AT5vgDqSVrKH1iZ+NWT0IOv9GD94hlZT7zrFjcj6PWg\nbcZYdO0/adqYWPkC2zXJqN/TLhWmFaMqHasx7MeIhoArk/OFoncdBpIZUw8p6s9sZDCFx978AHfO\nnWzL+jol4aAXWztaUR/wICYWzi2+RYz7C+SqoYK5hKtQ5nbCAZ9hTF0zga7KA3XtPwmfl+GBG6fL\nFSd+9vxhLN/RjTuvaXIsTm9XmSc1urmyxPliwLFECn061S0ktPMVLfAwZF1PZc5n6n3P43ifTiv5\nEiTnnVgnZ5S3MVvxRL3frV+bhIF8RYIt5Dyle3DbY3tw386DOPXFoOU8r9X3dDOU0yJcjZ7HoHxq\nHD00iJXzpmDCiBAGE2lRfHG+gOqvbp8j55faZoyV1xoNJNLweIA6X/lX+ZvFKFf2N1t3450P+/HS\nqr/EPc8czJv/yLq28TTSmQy+/+S7WU/h9X5v1jqithnCYti7nrJWcLfo8y7SSzDyPNXXweMRZPTF\n5HDyjddMzjOT4RhMpZHJCEKYTz4bgIcBq586UFBuy448q8NQTouofPRCckZVyx++aRa2drQiFMwu\n4aQlItjcPlPunpsPN5S00QtnHe+LydvGN+avs6g+FwD4/pPv5uRgfnV7dvmlrv0n4WEoKkxV0Hmb\nXOiqdY8A/c7IyqrqmQw3rL5uFmU4dUvHbM3rky88m8lwnBtM4lw8pXpA0O7dZSY8a2dn63JC4UGi\nIjGqWv79J9+Vu9s2BH2o93uwaUkLVl2b27PJbHjELSVt9MJ6G186Iu+Tr2SS1rnorQnTKvp6+mwc\nXwwkCg5TFXTeJoQjevcoljAXFrMjfCaN4dHXj6GnN4pQwIfIoNCGRUt0pBf6jiXT+CyWzFkbp9e7\ny0x41q0SdquQ0SIqEr2q5UDuZDaQymDH28eLqvTulnyAVq4sHPRlFWx98JUerFusXd1C71z0clUe\nDzTXJWU4NCbUwq6HlSr16vHFEudbqugZJ7NVJ+xYCxVLprF990e4Yea4rDYsfbFsg54v5xkKeHU9\nZql3l9zKZsn5VjZGOJVnLTVktIiKRF21XInWouXNL/fo9kIy9ZTqopI26sS/VuWJIUEftnacn5wa\nQ36hZxbnAEdOiGnjS0dyCs9KoVOpmaIkZFn/wmGMHVZvy/Uw68HqeQn1Po/8+nqde6TbIkR13/Wq\nXUTjKdPnEwp4Mf/SMTke/Yrt3TnvZyT0iMXTup/tnN5dbx/HQCpjanx2tNMpN5UTyCQIBdJTYzgo\nVPlWd65Vhjykp3SzRVu1cCofUEieTOs1evLsTIbDw4D+WCLrGq1bLHhLXfuFUp6nzwollvQk3uGA\nD33RBHa9dwp3zZ8qq+OMWoKYwWyuSm/NmtK70luTp9ciRH3fvYxh3eLmrBzSusXN8FoQKcQSaX3v\nP+iVm17mE4akMxk01HlzxrO5vQVrfvs+dnafL8Hq8zCh6kaNQOpBouLJN/HrKQ1jceE15VrjUsgx\nzbxGeT0igykMJNNYuaM7azK/YtIIPHDjdMzb8HvT55JOZ9AXS2DF9m6MHhrE6vlTcyb4xlAAGcB8\nJYsiFG2ZDAcYspShaqHN2kXNWP/CYQDAndc0YfLoBt1xZTjHql934wdXC+rSnt4I/nDsUyyaNV4W\n9ZipzBGJp3L6o62aNxkdf3Exhtb7dZWa0vVXVh+5e8FU/Fm9UIcyGk/B62G47TH7K2O4QWQEk+pB\nMlpETWDHl9LuL7ZuaZ6OVoBpT/z5yvloGzXtp/MjaxYCgOlzUb+31LxwwogQjp6O4KFXe7DhOy2y\n9N6MMTRTnkjvukfiKXx6Lp4l71eO6XhfDBtePCJ7k/km98hgyhZ5v9K4v/NhP5bPbcKSyydgxY5s\nT/dnzx/OGpukNASga8jBjZWQheCiRcem3oxyWkRNYEcs3+58gG6eLOjNyfGk0xm5dJNRLklbMKKv\nOLNyLur37tp/EvM2/B6cA/M3vobTZ+Oy9N6sOCOfos0o5xUKeLHxpSNZLVWESvJe8AxHOOjDmXNx\n00o5oXTT+bzeqmunWBKbSF4W8zA0BHzY8O0ZOHz/QnT8xcVYsSO3xcyd1zSp7qHQ3sRoAbcTYgq3\niIzMQjktgtCgFOESM2uupAnkkZtn444n9qKzbZphbk3PqEmKs2JKSumNt6c3Ikvv1/z2/Zz31hJn\naDVY1FrQa5TzAoRc3PoXDqOzbZrcnDIc9MHr9Vhu+ikYhKDc7NGM6lA6j3q/IAhZocgbblrSggdf\nPqpb0qlpVEPOdUxlODa8eEQjl6V/vzjniMQL/6y6SWRkBvK0CEJFqdZkmVlzBQgTSDjow1vH+gyb\nNQL60vBPPhs434Cxo7Cnc63xbmpvQdOoMLZ2tCIc8GHSBeGc91ar5vQaLGr12TKaUKXxNI08/56N\n4QCCYuHeQj3jaDyN27ftyas2VZ5HT28UK1QNO1fs6MZ3vzpRt6TTx/0xzfYmXftPYv2uw1nqT7mS\nhuraPfr6saI/q27tm6UHeVpEReOER2Rnm3Gj8WkVCI4l0llrroDzT+HAebVfZ9s0QVSgEpNoFerd\n1C60DhlIZgTDUGdcQcKoxl6W9yIKCm76+dtZ3gUAbH65R9dDsHJ986k2G0N+LJkzIcvD2dzegrC4\nFEBPqSeNQ33eSjViPrWp8jz0FIPhoA88wzWKJwtjPLJmodzeRLq3gOBBKhfI6127+ZeOkUOPWdfS\nIC+qxq7izqWCjBZRsagTyMvnNuGWKyeioa64skJ2hUvMJLiz2lwEffi/d76nMVG2YPvu4/Jxu/af\nxJlzcTxw43RcMCSYdY5GLVQagh7L41OjHC9YbumnFTu6sbWjFbd+dVJWXUel4TBb3UIKu21qb8kS\nNdxy5USEAl6cG0yCAbKHI41h+fZuPHDjdIRFo9YfS+YYjIDXk6Peawz5s0KC6geEwaRQBxBMEJDU\n+z3yvnpy++N9MVwwJGgYqtRqb6JnNNTXzkheb1YQY7XtTrmh8CBRsSifOq+fPgY3zByHO54ovqyQ\nXeESqwluycuScjSH718oTL4BH9rnTMipSrHxpSOahtRsWCxvxfg8106r03Rn2zSEgl58Gokjmcpg\nMJUW1HSKEFa+SvHqyvI7dh/HIzfPxuH7F2DJnAnyPV62bS9CQZ/mpD2+MSRfay1hymexpOZ9UY+t\na/9JdHYdwmAyLYcNlZ+v5XMFMYVW2FZ5j/TuiWScRzRIC7gXaIor5KofqoXSeiW7rApiKmnRMRkt\nomJRTppaNQgLVUDZVaOt0EaLZ87F8Y3Nr+Omn+8Wwlx+L8IBX1Z7lfUvHMbps/Gi8g5646sPeE0Z\nfaVxl9ZI7XrvFI6ejmB8YwhgDPGUIP/evvsj+d5IQgOzZaY2vHQUdzyxF7FEOidvpGcAe3ojGD00\nCAaGJ783B6//8Bq8efc1+NNPr0dn2zSMG1aPXSuvwp9+ej12rbwKo4cGEQ76ctSIUp4xk0GO8Vux\nvRtLr5yIKyaNwLMHT2HnvhN4+ObZufconvsQkMlwRAZTAAM+PRfHql93Y9m2veiPJnO8nHQ6g0/F\nVjP37TyYde12vXcKm5aoK5lo50XdKqywCoUHiYpFme8opMuxHnaFS6xW0TDqVJxMZ+DzMtz08/Mh\nn03tLaj3ewQpvI3j6+fnyRoAACAASURBVOmNyEZfr0o5kJ0LufOaJuzcdwI3zByXFdrc1N6CHbuP\nY/6lY9BzJiq3hfmfLwawtWM2QhrH1jOmYQ2vSio/paz2sXZRM17+42msnj8Vt2/bk7U26u9/041J\nF4Sx5PIJ6Ow6lPW3QZWnq1Qj1vm1x9QQ9Mn79p4dBOc86x6tW9yM+3YexOmzcTlEB+SutZIWQWt1\nN44qjDUAZDjwwI3T5QXy9X5P1mfGw6CZF620au560OJiomJR5mQ626ahs+tQziLVLR2zEQ6UJ9xh\n16JNZYUEadKPxFN4/M0PsgQPhbTQ0Js8u/afhM/DcPj+hZh633O676HMVR09HdG8B51t03DJyDBO\nfj6YY9AuCAdzxhxLpNB7No7xjSH09Ebw4Cs9OHMuji0ds7Fs296c469f3IyAz4MRDUEc74th40tH\nsHLeFN1Fx2cHktj2fz7EhpeOZh1na8dsDCQzmvcrlkxrLoLubJuG+RtfAyAsAP7jPy3Aic8GDBc3\ngyNrEbPyWN/Y/HpWNZBIPIU6nwd/OhOVq3Q8+EoPnj14CofvX4iBpHanaZcsFrYKVcQgqh+jdTJr\nFzVj574TaJ9zUdm+sLZU4lCVOtq18ipN41CsulFrklVOykbvERlMoT7gxdT7cis5HL5fUMipSxvp\nNabsi8Zz6iQOCfrQEPTliCrWLmrGoZOfY/ZFjdjxtuDRNY1qADNZ3kk6V2XFiXxNR5VKyWcPnkLn\nf/53zvX600+v17kWC8AY06x4cfj+hbjp57uFdWJc8Dg55/g0ksDKHbmf6/mXjsHk0Q2a5a5cUpbJ\nKtQEkqgO8snGpUnvgnDwfDgrnsYXAwn0nImakqs79SXXa2JpBXUYz+5QqFT+SVlBQhlm27XyKvkp\nv96vnQYPBbyIiFXS1eHGyGAKQ+q0BRPqMQv5rGw14F1PHcDWjtacBcNRsULI8PBI2QOTvKdXV18t\nj0WZ75SOeffTB9DZNk02Wsrwmdb98ngYGkN+PHKz8Pnq6Y1gx9vHcePscej++HOcPhvPqnOopyaM\nJdLoiyQ0//ZxfwwP3zQL0fj5ztt77puXVTdSGvvDN8/G429+gAuHT9INNRf7uXMr1XU2RNVhNdQx\nmExj2ba9WU+lG148jFDAq2uY3B5OkXJH23d/hPmXjgFjwEur/hKvHu7FFZdcIOdeBpNphAKFfaW1\n1oy9cfQM5v756JyQ3ohQAF6vJ+f14YA3S54ueSP/vu8ErrjkAlP5PaPSVtL7SPsPqfMDAMJBZpjr\n0jPyTaMaZANtRmgzkMrkeItvHevH1o5WfBqJZ3luu947lXMtNrfPNFzWEA76BMGHYhnBkDq/5tiH\nBAWZvFvXUjkJGS3C1VhaiKrxlH730wfwwI3TEYundVup672HkQihlEhP+cpFtFpFWDe3t8jrosyg\nZcTlNWMBH65sGpk1SUuKuUduno1wQJjEla/1ej24IBzMWXy869BpdH/8uanSRFbFK5IUXPmathlj\nsXLeFAyvF2Tkem1Uzg0mcWTNQtPV/o0MaiMPoGlkWDaC7XMuQmPIr9lKRU/sEQr4kOE86z30PLZo\nIuWah6pSQ5J3wtVYkY0b1d3zeHIly5IkXv89fI6UcTLTqVfNQCqTJfdWVkJQrj8aTKVNHTtfqSqP\nh6FBJ6TXEPShL5b72nQ6k20EA14MqRMm7g3faUFjOKBZmkiJ1eUGsUQaj735gSxTv6FFqMze1f0J\n+mIJLNu2N0cmLnX7rfN55AohZiZ/vfV7R09HcMcTe7FkzoSsdVZerydn7ZPusgafdhkurS7Um9pb\nKiVH5QhktAhXY2Whr+6+8bSuZFmaYPXW+hS65kvPMBVa11AyrG0zxmLXyqsweXQDOtumoW3GWHmf\n0UODiIpKw3zHNrPwWa/j79nBZM56qeXb9yGaSOPR14/hk88G5Os6mBS9VMYQCvgEA2GwgNVKFfNM\nhiMUFLpSS57L/TdMx11PHcD8S8fIuaCd3Sfxs+cPZ9Ve3PH2caQ4NBfw6hl8LYMq1QyUvNCBZEbw\nqMQu0erj5Ds/9XtIXagfUaz/2rH7OPpj9tfCNHMN3ACFBwlXY6Uumu6+CsOkFXbSep0yqQ4YCx3U\nYbZ6n0ejdJBxKDKfUCSWSGP53KacdVBrFzVj1oRhuOKSCzB5dAOO98Uwckgwy5hoHduMB+thwKYl\nLVkhyLWLmtGgU4UiFPBi0ezxWP3U/hzl35A6v2nPwKyIIJZM49NzcVx2cSO69p9E1/6T+NNPr5fz\nVeo2KpJM/JPPB7D55Z6sbr9mS24p835HT0ey8ljvfNgvq1i16gwqq9jrnZ/WWj0PgNtUcnsplybV\nkbSrX5ybc7sS5GkRjmDXE5uVJ2+jfY3CTurXbemYjZ37TmQVMNXz7jQ9J1UFCHOhSOOEesjvxS1X\nTsyp+nH30wfwrZnj0Nl1CFPufQ73PHMQq6+bKntgeseOinkgJZdd3IhoPHV+AwOCfk9WlYed+07o\neqaReAqrn9ovl9XqbJuGMX9WDw5gMFVY5Q7l5+jcYBLpTEb+PGn10/q4PyZ7yZpjHEzhwVd65J8z\nGS4u4E2hMRxAZ9s0XD99jK53LRnUWCKNzq5Dmp8RrbJRvWfjpj1r2WiLu9QFvDletVKcYldXgkrp\nq0VGi7CdQr9EeobOSl009RdeKm4KwND4Kd9DKmCqNnD1Pk/O+LS+6Cu2d2P+pWOyxpUvFKk0iFrX\nwTDHVOfLMWRSg0HJEKmvaSjg1ayVpzRwdX4vdu77RLiMDLhwWD3a50wQmyXmtigZKirdpHVRnV2H\nMPW+5/CDJ98VxmBxElV/jpZt24tPPhuU23EMJnNrNdaLCsZd753KOb9NS1qws/sEzpwT5OmPvfkB\nBlNp9EWF3NfU+55DZ9ch2eibKbm1at5kuRzUIzfP1n0oGd8YsmQI1OeuHJd0X2Nx4Rh2GZtK6atF\n4UHCdgoJgdkZmjA6lpmwk1aIRjfk1xDQlVMrMQpFanXq1Qst6pVd0np/aaL+5Ru5lTMGkhns3HdC\nVrD19Eawc98J3Pq1SXI1+MFkGl//0mh8/4m9WeG+RDqjeX0kFZ/Wuqjl27vz3n91eCuWTGP77o9y\nxjj/0jFy+w3pWn5j8+tZ1dpv/dok1Ps9inV7KXwxkMRNX7kYX5l0Ada/cBjPHjyFW786KeezKq3h\nOnMublhyS6styqb2Fiyf25RVbUN9j8wYAq3vkHJc6xY3wyO6HFaq5huFD60qN8sFeVqE7Vh9YrMS\nnjGD2SfPdDqDc4NJOfQ0mND37gZSGc1jGoXZzIQi1R6f3tgHU0JNOWU7eMnD2fXeqZz3H0iksaVj\nNna8fRwbXjqaG6b0e9E+5yLZG+rsOpSz7ieTQU67+bueOoBMJvf6eL0eeZ2W0eJnrVCxnmde5/Pg\nBjH0KY3xhpnjcMnIsBwe07qWkmrP6/EIuTTGAMaw+qkDuORHz2L+xtfQtf8kLru4Ubc7cdOohrxr\nt9SKTsnLvkUsoivdo3WLzzd4lO5PvkLHet+hyaMb8MCN0zHEQHGofg+zkQ+7CkU7jXvMJ1E1WHli\n06t/BwDPHjxVUGjCjNGU2mUoRQablrQgFOAIadQqNDqmlucUDnh1C+4aCQ203kdSBS7f3o3RQ4M5\nxVI1ezEFvAATmjFqjdnD8hcF1m03H9S+J9I6rWhCuzKGVJtQ7UEr80BA9jo5rUoWD900K28FCzV6\nHq6kkMz9rGavg9LyVPQ+Ew11vpy1aspKI2YMgd53aDAhtDFRrh/M572bjXxUSl8tqj1I2I6VUJ9U\nDFareGhn16GC6ukpj9k2Y6xcZDaWSMnFc88NJjWLrz500yz4xCd1M+PcurRVDmXZ8UWPxFN49PVj\ncg29nt4IhoX8WaV8lO8tlWDSen+jMee7ppL3Gwr45CKtXftPmnp9vkK86rFDUSdQQqoFqLn9/oXo\ni8YxQqPYbr5z0upgnO+zqvd5Dge9uO2x/Ne3EGWf1ns+fNMsJNKZrLqMysrxeu+hrl2pvL5adQvL\nCBXMJcqH2S+q3hfq8P0L0R9NFJXT2r77oxyJuPwlN5goAeR8mUslB9byADe3t2DNb9/Hzu7zSjUz\nk06hY9YzOlaKD6urv0tGTz32SDyFT8/FsyqyA+cr9Os9WDDAkoze7Fi1Pqu6xr+jVbfKihPj0qsO\nn+8hopiHlxJDRotwP3pfqGJbikiegtakt3VpKzjnljwt6ZhOV87Wux4P3DgdV69/Nec8zHhMZscs\n7as3ORZyT/JNmBnOserX3Vh17dScWnyNoYBmVff1LxzGmXPxkk26Rp6KXlX4Uo/DiYeXMkBV3gn3\noxePL7YHlsfDNJsGSjkdnuE5C2c3LWmBT1zTpXdMJypnKw2LUSmqKyaNyLvAutAxKye2J783R3MM\nYVF4YYW8+RaDWnxyVfeOVtQHvOjpjWT1+iqVFDtfjtbqZ6LQh59C1X2VkqsyC3laRNnJZLjwRQoK\niWuPB5YKv+qR7ylfqpUXDvoQjafg9zAEFO9bCs9K/RT80qq/lENl6nyc18OyqirYORbltdLr11Vo\nAWGj62jGC4gMpnI8v1XzJuO7X51YkoLGpVqOUUiey+i1dlXJKGFfLgoPEpWBU+GLUk4QhaLu0vvW\nnz7FvC+PxjN7c1vX672/3Y0mtZomblrSgh1vH1es92qRC70Wez3yjT+WSKE/mpArxC+f25SzPmpz\ne4tlYYadYzRLsfkl07liGz6/ZQgrktEiKgMnE8WF5HSU/aQmjRwiq/h2vXdKXHxrT2hQq0vv2kXN\neOXwadw4a5xuPi6302/xE4v6Hijb00fjKfzyjQ9y2tNv+PYMhINCEdxiJvJ890jKe/3gasHrjMRT\n+L5WF2RFLT63Uiolnx3fqTIIOExdAFpcTJSVTIYDHHjye3Owa+VVeWvm5TuWZvkjEyWgtEoGzb6o\nEbveO5W1sFWrc2+hdRaV/b+UJZj+csoow3yc8v2iiZQ9JXw0qouHxXJY4aBPc73XqKFB9EcT4Bz4\n9FxcWKhdZKkmrYWvUt5r/sbXcMmPntXvgqyzfsxNlcutdC0oBjtKMrm1rBMZLaJsyBPWtj2yYbj3\nG19C5//6suUvcrFFQzVrCO4QaggqDYp6TEbvm7fVhYHoQq8tSCyeynq/UMBcG/t8GFXq0Jpol89t\nQl8kgXueOYip9wmFes/FU5YL45qpXiIY1POVQPSvjcmCxjb2RrNKqapO2GEcS2VgrVIWo8UY+5Ax\ndpAx1s0Y2yNua2SMvcgYOyr+P1zczhhjmxljPYyxA4yxWeUYM2E/WhPWyh3d+NascXj4plmWvsjF\nFg3VMyDKGoKSgs7M+0qFWPN5EHqTr1BpI7tk07rFzUhleFYFeb1q5oVMLHpeqdZEe8uVE3OaUEol\nnqxgqkWKqAR94MbpOHz/QgA8pzGishafErdVLjfbtaBY79AO4+jWsk7lDABfwzn/VPH7PwD4Hef8\nnxlj/yD+fjeAhQAmi//mAHhI/J+ocHTL4AR9GEikLeVHig1l6MmJlYVOteTFeu+byZzvlAxol84x\n6v+lnKglkcbPnhfWJ3W2TZPzSw++0oO1i5pzBBt2TizyRNvRilDQi+N9Md2K83ohOj3MyrjrfF6E\ngz7c9PPdGD00iPv+6kvytfm4P5ZVi0+JG0Nc+ZYh2JGntEPm7lapvJuylt8EcLX48+MAXoVgtL4J\nYBsXFCN/YIwNY4yN4Zyf0jwKURFIT5J6hmLy6AaDV2tXC8g3+Rkl/LUMiKSYM6oZpzfp6tbtU3kQ\nRpNCnd+LeRt+n5O0V3p/XftPomlkWFHNXFgyILVksVPm3FAnlF26YEgQMZ17F4unLYkhzDb5VF+r\nwWQadT4fGAMuGBLUPc9KqVyupNBGoWrsWFfo1NrEYijXKDiAFxhjHMAjnPMtAEZLhohzfooxNkrc\n90IAHytee0LcRkargokl03jszQ+wqb0lS7oslQsaO2wihtT5NV+rV5dtc3tLTl0245Yf2bJtrXYb\nt35tEv7265N1nzL1C7HqTOqqydJoUtCbcKUK8tL7tc+5COGAIJrQKyskXfNipdLSeDMZrnG9W4rK\npeUbm/JahQIKb1dau6axzi/k9+Lhm2bhs1hS9sqGh/xlD3EZ4Ubv0E2URfLOGBvLOT8pGqYXAfwd\ngC7O+TDFPp9xzoczxn4L4AHO+Rvi9t8B+CHnfK/qmMsALAOACRMmzP7oo49KdTqEBmZkzFPufQ5/\n/MkCxJLC03ksnkY0kYIHQGNDAAzMUiHYX9zSigyH5nsalUcKB33ypFxocdNYUqi4HksIi5UHEml8\nMZDE3/9mf9akbmUtkZ4BaQz5MZDKZBlX6ffjfTFsePGIXOdPui7RuLkaeVZkziVeeKqJ1rKBdYub\nMSTokx961H93ek2XenxWr1EF1Qq0G/eWceKcnxT/72WM/TuAywGclsJ+jLExAHrF3U8AGK94+TgA\nJ6FC9Na2AMI6LSfHTxhjJiYveRGnzw2CMYY7FI0G/+XbMxBPZhBNaE+0ek+idX6vvNYlp/K6QUfZ\nm36+W67WXkguQXqiz3ntkhb87K+bMXZYvVyaKF+hWvUEp+eFNHg98nnqtXbp2n/SdH5NwspTvhtC\nR8plAwBkQcgDN06HV7xG6r/na0hpF4XmpsyGTGuVkqsHGWNhxtgQ6WcA1wF4D0AXgKXibksB/If4\ncxeADlFF+BUAX1A+y92YlzHPhIcx/P1v9mft+/e/2Y8057rHKKTpXWRQu1ljT29EnpSNxp1PzaV+\n7cghQUQTaVw4vB49vRFsfOkI6gwmHT1pNgDDdWZaY7776QO485om+RzN5Nfk4xkoGt2I0cOIUS3H\nUoTaClUumlUY1irlkLyPBvAGY2w/gLcB/JZz/jyAfwZwLWPsKIBrxd8B4FkAxwD0ANgK4H+Xfsi1\nSaGyW7My5hHhAEb/WZ3uvp1t0/Cnn14vLzqWtutJcaWW72BANJ7CyCFBebJ4s+cMNqkk5GsXCR1l\nJYOnN+56vwd90QQeff0Yjp6OoN4vdOBNp8/ru5Wvlcog3fPMQUy5V1h/tnr+VAwaTFaFTnBGUn3p\nuuiua9KQxavXREly8nQmk/f+l2MRr56R/bg/hlgi/wOOFnadRzEG0+yi+Fqk5D495/wYgBka2/sA\nfF1jOwdwZwmGRigoRnZrVrEl5acuu7gRI4cE5eKwn0bi6Ism0Nl1SH7vjUtasPDS0fIx1GGzOq8H\nUTGfdPS0UHJp9XVT5feaNnYYduw+jp/9dTMuHF4v5n4ECbkUejEat1Zvrk3tLbhAzI3EEmksn9uE\n+ZeOwYXD6vHoG8fkquU9vRE8s/cEvvvViXKVDjWFTnB6Yx5IpOWQJwDT4SYjqb1RSC3f58Wp/Jdk\nZLVyWlbP3cx5WKESlYuVANUeJDQptuut2S9+JsNxbjCJc/GUXBBVWelc+d6P3Dwb4YBXzlUoj/Fp\nNK6pQpx/6RgAyKparqyrN5hMI5MRWssPJtNyW/uscTcE5FbxRhXjpeaNT9x2OU5+Pphl4NYuasbY\nYXX4LJYsWgBRyLW2VIOxgPp4+To7O1l4Va9LAIAcgUy+c7dTBFFBfazcgnuFGIT7KeTJXzkx1vu9\n+MUtrXlbaUgy6rueOiBPFOMbQ7r9nAaSaVmEIBFLprFClWy/++kDsqcjvV6ia/9JPHvwFA7fvyBH\nVffwTbPkRbTSuGOJNJpGNehej0g8BXAuV4iIxFO4++kDOeN56KZZ+gKIApPvWuuXMhnkrNPKkour\nRSo5VdWtewhGn5dYwp51R0bXQFobJv1fsAjCxhyYWxfnVjpUe5DQxGouIEdIsG0PonFh0W++mLy6\nOKxeaaKe3kjO5JHJcMO8zkAijVhCW4ShnEylPNL3n3wXYMjKJYT8QtV3rWN88tkAzg0kEVKcw5A6\nv+Z4pO3qoreReAoACk6+ywaJA9F4Grdv0y8dZaYWXyHle4w+L+UQQxSaI7S73h7lpuyHjBahidWJ\ny8wkoZfgVhuEB1/pyaktt3ZRM3a9dypr8pAm4ON9Mc2JJhpPIRTwIhzwaZ6LUSV1JR4PQzjgzRFy\nrF88A3U+D1b9Zj+Onj5vaI2M7mUXN2IwqV2XEDBWCubDzD0ws08h6jWjz0s5Cq8WaijdWm+POA/l\ntAhd1P2lQgEvBpIZzRBHvjyIUbiGcy7ng6S/PXTTLHiYIAqQelm1z7kou6OtmH+YP200vjVzHBrq\nzu+7ZM4EjAgF5PyXVk4nlkxbyl8oj3H0dAQNQS9Wi2FNZePE0UODWD1/qpyjU+bY2udchHq/N6cT\nrx2LR83kopzs56SXNytHbqfYnGy5F03XKJTTIopDXjQbyT/haOVBls9tQjSeEtrZJ1JydXIgN68x\nIhyQ6+dF4yl4GUPQ70EskcLk0Q24cPiknMkjFPBi9NAg5v75aHz/yfOLkze1t2QZLOlc1AthzeaR\nlJMYAAwm0+jsOoQnvzdHfpqXKlB0tk3D5NEN/397Zx8dVXnv++8zr8lMQiEYuLxF0IS0heBIqBxf\nq4hGdN3Ug7UmpyFaLahXT+RGsMdC78qpWo5KOcC9LBFoq0ALSOuhWVdoLIXWNwqIBBAtMLw0IFwS\nEiiZmWRen/vHnr2z9+y95yXJvCW/z1qsRZI9M888M/P85vn9vs/3h7ZOr3SwWAz4j98uPAcwJCVd\nFk8tKpmKNr3Dxv1Z24k3oPTlgG4mHJom9KGdFhGVeL+xRn6brptRjKqbihS7p1cfmoKl7x+TFnjV\nLiDE0R1QKvjqZhTjsVsnaHbHdXkDuNTp1VQarqkth91iiim3jmk3peNZaDEKirT68MFo+WMvmV2G\nO5f+WXe+kmXTE8+OJpsVbYmOnXZMWUdcLw4FLSIqiaSTItOJWu3iGyonoWL5B9LP4kItLkhub0AK\nQvKUm97ZHzBg4qIduL9slHTOy9nqwvWFdlz2+FFgM6PD40fdpoMYOcSK+TMnSk0WxRYg0dANMLXT\nYGBAh8enSAOurHbglfe+xLbmHqcxreDcm8ARzyLcX9dkIoPYk2+wQOlBou8kkk6Sp1X0RA7FI/I0\nW32IAgF5yu2Zu4pV0vFIqbTbG8DfXroP7W4f5st2dcurHNiyrwU/uG0C6jYdRGG+FfX39ATAaDs4\nOboF/XDfqKX/dUxxiNgXCOHiVa/i+sj56k26LN5AF09qK5Xpr/4MkOR+TgCkHhzwpKsDqr51UEBT\nkSYuSHLlXbSzUeIiPm/9AZxsc2N+RBfdLftaUHvLeNitJjRUTsKP7ivFtoPn0FA5CcdenoVHb5mA\ntz4+HbMFu57yrdsnpDF//j0HAOB/bmlGxfIP8LsD51QqQ73+UKJMHRzCuaruADw+7dcoEQl3OuyU\ntOjvVveZ2v6dSC200xrApLMDqsEAvP7wFEXq7PWHp8Coo1ATF6RVu51Y+vANWLD1kBTAtPpJMTBp\nEY8Mbg3//ZuSmlC0dKqeXoTqm4pQF1Fjc7a50XjovLSDizx4m2syqAv6VQ5ciWg78upDU1BcaEf1\n9GsxLNesEJVE712l31YjUnQSzy4jk2pWsZoZJroLI/dzAqCa1oAm1TWASJVd/ZZmPH1nT53pjT87\n8fPvOVC6eIdmfard7cOmvX/H9//pWhjDO5FObwD/kDXwG2ozY8/JS6iYPEqqtTXNv0OyWKq8YTQW\nPfANRapQlJtXOsaoBBJijU2sO2kpJQts5vDzMkkHnF/47WFt8YfVBFd3AG99fBordzl71btqyewy\nXJNvVbxG0WprYIjZaywddZ9o9VBwJK2uR2Qtcb2QlB4cwKSyBhCZCmpp9+DiVS8qln+A63+8HRXL\nP8DFq144W12K9JbbJ6SxPP4gCmxm/OC2CXj2NweRn2PGgq2H4PEG8eK7R1C6eAdefPcI/MEQpl1b\ngHaXV0oVrdrtxKsPCYeRn7mrWJUq/NHvDqNi8iiMK7Cp5kK0eRJ3cFopuK5ACHarCaWLd6Bi+QcY\nPTRXZ15NmLhoB57ccAAP3jgW95eNiprGi9VWQ3GtRpr29YenYPG2I4q0WybVfaKl8/rStoMcJgY3\nFLQGEJG1jG5//9UAEu0nteyPxzVdLVbtdkq3kS/0c9/+FB0evyTgcLa6MH/mRCzYeihiYWuG2xdE\nrtko3f/2Ixew7eA5rK4pR8lI7TpY8Yg8nO3wqObC2erqqTvF8M+Lx/FCq6dVor2rxLYaciJdKpbM\nLsNrfziGbc3nE+o1lkqi1UMzKbgS2QUFrQGCVtHb7Q1gdc3UPlvSxOVXF7EINR46j6VNx7C2Vlhk\n19SWY9vBc9IZLUC90NdtOihZOq3a7UTRcG3j3HEFNtisJixtEpR7x1+ZhUrHGPzk958r7JTkj+Py\nBmC3GBVz8UbNVIwZmoNfz52OXLMR3kBI3z9PtgC/8Wdtm6nIgCzfxSXSu2qYzazbNkRM8c1c9hfF\nXMbqNZaOuk80OyhdoU6GNpskMgcSYgwQtIvezVhbO63PTgSxCuqAtjT+4lUvQpzj+2v3StZGe051\nqA4bi4gLr9gf6avLXZpCjLMdHgzPs0jpR/E8V1unVwoocgHI8ioH/uuzc7ja5ZfqTt2+INy+AJ7e\nKG9D4sDqmql4auNnqkK/wcBQYDMrbr+2thy2sNjiVx+d1gzIkUFDUZPxB1Fgs/S4ysvaakR7jWId\nQ8gkZ3F9lwxtoY6BvkYTMSAhxgAhqZ5y8XjaaajWVlQ7sHlvC5btPAFA2cfqapcf6z85I/0N6BEW\n5JoN0sLe7vYp+mStqHLAZjEix2REh6fHr1A6d2U1Ce05OIfNakJLuwfLdx7HxateRaE/prAhAf88\nQC0qWFHtwHC7RXI57/KHkGsySAed5YHSbjXFbOGieD2SeDg5VYQ41xTqLHvEoXhPZcp4iZRAjhiD\niWSqxuJVrkU24zMZgDaXD6OH5sLZ6sKq3c5wH6tZWLXrBKqmFykCkij3BiDtdv53tQO3FhdGGOcW\nwW41Yd0Hp1Axhi0/rAAAGSZJREFUeZS06DV9fgGVjjGS8i6qfVOUQCwGGvltYs2v/LGEnlbqoPnm\nnHI8uUHtErJkdhlmLvtLQvL0RBd0uTpTnDN3OGUa2VSzvx4zGvHMZ6ZI94mUQY4Yg4lknmHRum9R\nuSbfwQBAl1/o5ySmA1/4rdLpvLjQji5fEPPuuA7+EMev505Hty8If4gjz2rC2Q4Pci1GaTG7rjBf\ntdDvOdWBtbXTsHKXU7FTMxkYnr27BDwciKI1PgTnmik2V3cAT244oFooYwkHxMcKhbiqsaSYBtVz\nCRlXYFPU9ZIhT/f4g9i09+948MaxClusFdUOXGO3Jm13p0es92s8KWlicEIZ5AFCb3og9fa+dZVr\nsoXm6TuLpW7EckXdo7dMwIcnWnE17E1Yv6UZV7r8eGrDAUnWbmBCKhGI4ophNWoW8i/+oxtdgRCA\nHsVjMBTCJbdXISRhjKnEFK8/PAUGBhTmW1UybF1VXoRwQEvKLSoJz1/p0lUdKp5bDAVdb5wmbBYj\nKiaPkmyxxLE9t6k5psxc73nFI1HXI9b7NR3qwkxxEiGiQ0FrABHvGZbefDj1lGuVN4xGQ+UkQbkm\nW2j0gk1+rgm3l4zAc5uEs1TP31uK599Ry9oXVpQC0JeXe7xBlfLu1Yem4P0v/h/AIT23X354Cs5W\nt/R44mPkmI2S+vDYy7PQUDkJS5uOIddiwoJ7S6WgqVTlKR9vRZUDAI+qohTvo3hEHnItBlWg/Pn3\nblCoDsUmkYkcL4gngHh8wai2WLFIRhCJ9n5NtXS/vy2niORB++xBRl/TPHLlWqQL+876b0t/07Ng\ncnkDyAv7Aa7a7cSYYdoHdccMy4XJwND0+QWsqHIoWpyIZ6oMBmDJ7DKMK7DB2erCrr9dxMxvjsTc\n9Z8qUnOjh+aoHsPZ6pLUhyI3XzcczlYXGhqPoqFyEhoPnVeo8vKtJqyeU468cH3twN87cEtxoeAb\nGLZr8vi1lX2d3X7862+aUZhvlQx2z3Z48LVcM9o6vZKJ8OqaqYrWLFqvT28CiM1shCt8nKA3vbT0\nFIuu7kBSDvmm2rKJ0pHZAwkxBgCJFMj7KtgIhTguub14blMzGionKey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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a15759e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ys2AaHr1xrqxlAUBzLIzvXXWJ7G+QjhuLBH1v8vGqo6+tBoOKwIjuA6ex8MFf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\n4bP377VMRbAKrbeSGzK+u8Y+CUoGKwrQIDUI2ip01dZny5PMjZeegzW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RBcd31FTAjcTR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\nJBLQIBFCCIkENEiEEEIiAQ0SIYSQSPD/MusVkq2mIH4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1591bb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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z0V0sZzVk+E0SAxKZwWrfDcDeMxQ1TGogGmbVrE/X6D2Tznpo5ZYd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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a15759390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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fIJvXOqs0nigu0240s53B9OFwcsdpwL6y1+wPjo11vGZ0c7HUm0wqzhWzp7Fi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\n/CwTx+KXHIesyjF3hOORMrMPUzpBXFR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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fe84d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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tV4FPOOe2Rji2lkzWZVco+hTKfpM6bz6TVlGAqNl9sG+0zBUtWrRXGvQlOzXa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\nOWyObRb9kHyETfq6J+276HP5XS1Shy8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i/qHdZpDa6lBrdCYiMgO4H7jGOfd63OOZKpxz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\nGEZH8P8Dmc2qkt6YbcIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110656d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 不同特征的散点图\n",
    "for v,i,j in s_corr_list:\n",
    "    sns.pairplot(data, size=6, x_vars=cols[i],y_vars=cols[j] )\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据准备"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 日期的数据类型为object，传入会报错，所以去掉（其实可以转化为时间戳的形式，但是从经验判断，日期与总租车人数相关性不大）\n",
    "#### 同理去掉年份与月份和记录号\n",
    "#### 由题可知非注册用户个数与注册用户个数不是特征值，故一并去掉\n",
    "#### 温度和体感温度相关系数达到了0.99，相关性太强，信息冗余，只保留一个温度 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['season', 'holiday', 'weekday', 'workingday', 'weathersit', 'temp',\n",
      "       'hum', 'windspeed'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "# 从原始数据中分离输入特征x和输出y\n",
    "# y = data['cnt'].values\n",
    "y_2011 = data[data.yr==0]['cnt']\n",
    "y_2012 = data[data.yr==1]['cnt']\n",
    "X = data.drop(['cnt','dteday','casual','registered','yr','mnth','atemp','instant'], axis = 1)\n",
    "\n",
    "#用于后续显示权重系数对应的特征\n",
    "columns = X.columns\n",
    "#打印都有哪些特征\n",
    "print(columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(365, 8)"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## 将数据分割训练数据与测试数据\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "# 随机采样20%的数据构建测试样本，其余作为训练样本\n",
    "\n",
    "X_train = X[data.yr==0]\n",
    "X_test = X[data.yr==1]\n",
    "y_train = y_2011\n",
    "y_test = y_2012\n",
    "# X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=33, test_size=0.2)\n",
    "X_train.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据预处理/特征工程"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda2/envs/python36/lib/python3.6/site-packages/ipykernel_launcher.py:14: FutureWarning: reshape is deprecated and will raise in a subsequent release. Please use .values.reshape(...) instead\n",
      "  \n",
      "/anaconda2/envs/python36/lib/python3.6/site-packages/sklearn/utils/validation.py:475: DataConversionWarning: Data with input dtype int64 was converted to float64 by StandardScaler.\n",
      "  warnings.warn(msg, DataConversionWarning)\n",
      "/anaconda2/envs/python36/lib/python3.6/site-packages/ipykernel_launcher.py:15: FutureWarning: reshape is deprecated and will raise in a subsequent release. Please use .values.reshape(...) instead\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    }
   ],
   "source": [
    "# 数据标准化\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "# 分别初始化对特征和目标值的标准化器\n",
    "ss_X = StandardScaler()\n",
    "ss_y = StandardScaler()\n",
    "\n",
    "# 分别对训练和测试数据的特征以及目标值进行标准化处理\n",
    "X_train = ss_X.fit_transform(X_train)\n",
    "X_test = ss_X.transform(X_test)\n",
    "\n",
    "#对y做标准化不是必须\n",
    "#对y标准化的好处是不同问题的w差异不太大，同时正则参数的范围也有限\n",
    "y_train = ss_y.fit_transform(y_train.reshape(-1, 1))\n",
    "y_test = ss_y.transform(y_test.reshape(-1, 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 这里不知道如何只将数值型特征归一化，只好将所有特征归一化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#数据归一化 \n",
    "from sklearn import preprocessing   \n",
    "min_max_scaler = preprocessing.MinMaxScaler()  \n",
    "X_train = min_max_scaler.fit_transform(X_train)\n",
    "X_test= min_max_scaler.transform(X_test)\n",
    "\n",
    "y_train = min_max_scaler.fit_transform(y_train)\n",
    "y_test= min_max_scaler.transform(y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 确定数据模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef</th>\n",
       "      <th>columns</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>[0.649243912292]</td>\n",
       "      <td>temp</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>[0.1978459132]</td>\n",
       "      <td>season</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>[0.0260870478211]</td>\n",
       "      <td>weekday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>[0.00386823769171]</td>\n",
       "      <td>workingday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>[-0.0536814740551]</td>\n",
       "      <td>holiday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>[-0.0953961506144]</td>\n",
       "      <td>hum</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>[-0.19163007475]</td>\n",
       "      <td>windspeed</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>[-0.193934911422]</td>\n",
       "      <td>weathersit</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 coef     columns\n",
       "5    [0.649243912292]        temp\n",
       "0      [0.1978459132]      season\n",
       "2   [0.0260870478211]     weekday\n",
       "3  [0.00386823769171]  workingday\n",
       "1  [-0.0536814740551]     holiday\n",
       "6  [-0.0953961506144]         hum\n",
       "7    [-0.19163007475]   windspeed\n",
       "4   [-0.193934911422]  weathersit"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 线性回归\n",
    "#class sklearn.linear_model.LinearRegression(fit_intercept=True, normalize=False, copy_X=True, n_jobs=1)\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "# 使用默认配置初始化\n",
    "lr = LinearRegression()\n",
    "\n",
    "# 训练模型参数\n",
    "lr.fit(X_train, y_train)\n",
    "\n",
    "# 预测\n",
    "y_test_pred_lr = lr.predict(X_test)\n",
    "y_train_pred_lr = lr.predict(X_train)\n",
    "\n",
    "\n",
    "# 看看各特征的权重系数，系数的绝对值大小可视为该特征的重要性\n",
    "fs = pd.DataFrame({\"columns\":list(columns), \"coef\":list((lr.coef_.T))})\n",
    "fs.sort_values(by=['coef'],ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 模型评价\n",
    "#### 可以看出 温度、季节、风向、天气权重影响较大"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LinearRegression on test is -0.696047924647\n",
      "The r2 score of LinearRegression on train is 0.758512965677\n"
     ]
    }
   ],
   "source": [
    "# 使用r2_score评价模型在测试集和训练集上的性能，并输出评估结果\n",
    "#测试集\n",
    "print ('The r2 score of LinearRegression on test is', r2_score(y_test, y_test_pred_lr))\n",
    "#训练集\n",
    "print ('The r2 score of LinearRegression on train is', r2_score(y_train, y_train_pred_lr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2JyJ2AD4NvG+Ia+urut6biHhBRCwBfk+tR1fqoDX1/qwBEBHTqP3n/ZshqK2v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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fbd6400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#在训练集上观察预测残差的分布，看是否符合模型假设：噪声为0均值的高斯噪声\n",
    "f, ax = plt.subplots(figsize=(7, 5)) \n",
    "f.tight_layout() \n",
    "ax.hist(y_train - y_train_pred_lr,bins=40, label='Residuals Linear', color='r', alpha=.5); \n",
    "ax.set_title(\"Histogram of Residuals\") \n",
    "ax.legend(loc='best');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 残差分布于高斯分布较匹配"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cJZ4dAOcCO1V1uos56hVe3RSReKA3Afr3ErEzeUXkdTxXTM4uy6mq+1zI8QUQ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\n4xgrMMYYx/wfE/Ntl2tXOtcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ff85cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#还可以观察预测值与真值的散点图\n",
    "plt.figure(figsize=(4, 3))\n",
    "plt.scatter(y_train, y_train_pred_lr)\n",
    "plt.plot([-3, 3], [-3, 3], '--k')   #数据已经标准化，3倍标准差即可\n",
    "plt.axis('tight')\n",
    "plt.xlabel('True price')\n",
    "plt.ylabel('Predicted price')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 随机梯度下降，由于样本数很少，只有356，所以本项目部适合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda2/envs/python36/lib/python3.6/site-packages/sklearn/utils/validation.py:578: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([ 0.19756308, -0.04987048,  0.02841984,  0.00542061, -0.20865243,\n",
       "        0.64622743, -0.05543419, -0.17182831])"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 线性模型，随机梯度下降优化模型参数\n",
    "# 随机梯度下降一般在大数据集上应用，其实本项目不适合用\n",
    "from sklearn.linear_model import SGDRegressor\n",
    "\n",
    "# 使用默认配置初始化线\n",
    "sgdr = SGDRegressor(max_iter=1000)\n",
    "\n",
    "# 训练：参数估计\n",
    "sgdr.fit(X_train, y_train)\n",
    "\n",
    "# 预测\n",
    "#sgdr_y_predict = sgdr.predict(X_test)\n",
    "\n",
    "sgdr.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of default measurement of SGDRegressor on test is -0.707484581316\n",
      "The value of default measurement of SGDRegressor on train is 0.758128667162\n"
     ]
    }
   ],
   "source": [
    "# 使用SGDRegressor模型自带的评估模块(评价准则为r2_score)，并输出评估结果\n",
    "print ('The value of default measurement of SGDRegressor on test is', sgdr.score(X_test, y_test))\n",
    "print ('The value of default measurement of SGDRegressor on train is', sgdr.score(X_train, y_train))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 正则化的线性回归（L2正则 --> 岭回归）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of RidgeCV on test is -0.696068924052\n",
      "The r2 score of RidgeCV on train is 0.758512964373\n"
     ]
    }
   ],
   "source": [
    "#岭回归／L2正则\n",
    "#class sklearn.linear_model.RidgeCV(alphas=(0.1, 1.0, 10.0), fit_intercept=True, \n",
    "#                                  normalize=False, scoring=None, cv=None, gcv_mode=None, \n",
    "#                                  store_cv_values=False)\n",
    "from sklearn.linear_model import  RidgeCV\n",
    "\n",
    "#设置超参数（正则参数）范围\n",
    "alphas = [ 0.00001,0.0001,0.001]\n",
    "# n_alphas = 20\n",
    "# alphas = np.logspace(-5,2,n_alphas)\n",
    "\n",
    "#生成一个RidgeCV实例\n",
    "ridge = RidgeCV(alphas=alphas, store_cv_values=True)  \n",
    "\n",
    "#模型训练\n",
    "ridge.fit(X_train, y_train)    \n",
    "\n",
    "#预测\n",
    "y_test_pred_ridge = ridge.predict(X_test)\n",
    "y_train_pred_ridge = ridge.predict(X_train)\n",
    "\n",
    "\n",
    "# 评估，使用r2_score评价模型在测试集和训练集上的性能\n",
    "print ('The r2 score of RidgeCV on test is', r2_score(y_test, y_test_pred_ridge))\n",
    "print ('The r2 score of RidgeCV on train is', r2_score(y_train, y_train_pred_ridge))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MeplZBjAayCnXJge4Ihi+BHjH3T2YJw3AzHoC/YE1MS5TpEH6V/5W7nl9JecP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\nUeAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1100b5a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alpha is: 0.0001\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef_lasso</th>\n",
       "      <th>coef_lr</th>\n",
       "      <th>coef_ridge</th>\n",
       "      <th>columns</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.647264</td>\n",
       "      <td>[0.649243912292]</td>\n",
       "      <td>[0.649208664057]</td>\n",
       "      <td>temp</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.197363</td>\n",
       "      <td>[0.1978459132]</td>\n",
       "      <td>[0.197850133994]</td>\n",
       "      <td>season</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.025428</td>\n",
       "      <td>[0.0260870478211]</td>\n",
       "      <td>[0.0260861465523]</td>\n",
       "      <td>weekday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.003795</td>\n",
       "      <td>[0.00386823769171]</td>\n",
       "      <td>[0.00386962035634]</td>\n",
       "      <td>workingday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.049920</td>\n",
       "      <td>[-0.0536814740551]</td>\n",
       "      <td>[-0.0536753434775]</td>\n",
       "      <td>holiday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.087207</td>\n",
       "      <td>[-0.0953961506144]</td>\n",
       "      <td>[-0.0953656886548]</td>\n",
       "      <td>hum</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-0.186123</td>\n",
       "      <td>[-0.19163007475]</td>\n",
       "      <td>[-0.191604936073]</td>\n",
       "      <td>windspeed</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.195671</td>\n",
       "      <td>[-0.193934911422]</td>\n",
       "      <td>[-0.193942456246]</td>\n",
       "      <td>weathersit</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   coef_lasso             coef_lr          coef_ridge     columns\n",
       "5    0.647264    [0.649243912292]    [0.649208664057]        temp\n",
       "0    0.197363      [0.1978459132]    [0.197850133994]      season\n",
       "2    0.025428   [0.0260870478211]   [0.0260861465523]     weekday\n",
       "3    0.003795  [0.00386823769171]  [0.00386962035634]  workingday\n",
       "1   -0.049920  [-0.0536814740551]  [-0.0536753434775]     holiday\n",
       "6   -0.087207  [-0.0953961506144]  [-0.0953656886548]         hum\n",
       "7   -0.186123    [-0.19163007475]   [-0.191604936073]   windspeed\n",
       "4   -0.195671   [-0.193934911422]   [-0.193942456246]  weathersit"
      ]
     },
     "execution_count": 162,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mses = np.mean(lasso.mse_path_, axis = 1)\n",
    "plt.plot(np.log10(lasso.alphas_), mses) \n",
    "#plt.plot(np.log10(lasso.alphas_)*np.ones(3), [0.3, 0.4, 1.0])\n",
    "plt.xlabel('log(alpha)')\n",
    "plt.ylabel('mse')\n",
    "plt.show()    \n",
    "            \n",
    "print ('alpha is:', lasso.alpha_)\n",
    "\n",
    "# 看看各特征的权重系数，系数的绝对值大小可视为该特征的重要性\n",
    "fs = pd.DataFrame({\"columns\":list(columns), \"coef_lr\":list((lr.coef_.T)), \"coef_ridge\":list((ridge.coef_.T)), \"coef_lasso\":list((lasso.coef_.T))})\n",
    "fs.sort_values(by=['coef_lr'],ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## L1正则 Lasso"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LassoCV on test is -0.699520587019\n",
      "The r2 score of LassoCV on train is 0.758481483455\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda2/envs/python36/lib/python3.6/site-packages/sklearn/linear_model/coordinate_descent.py:1094: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "#### Lasso／L1正则\n",
    "# class sklearn.linear_model.LassoCV(eps=0.001, n_alphas=100, alphas=None, fit_intercept=True, \n",
    "#                                    normalize=False, precompute=’auto’, max_iter=1000, \n",
    "#                                    tol=0.0001, copy_X=True, cv=None, verbose=False, n_jobs=1,\n",
    "#                                    positive=False, random_state=None, selection=’cyclic’)\n",
    "from sklearn.linear_model import LassoCV\n",
    "\n",
    "#设置超参数搜索范围\n",
    "alphas = [ 0.0001,0.001,0.01]\n",
    "\n",
    "#生成一个LassoCV实例\n",
    "lasso = LassoCV(alphas=alphas)  \n",
    "# lasso = LassoCV()  \n",
    "\n",
    "#训练（内含CV）\n",
    "lasso.fit(X_train, y_train)  \n",
    "\n",
    "#测试\n",
    "y_test_pred_lasso = lasso.predict(X_test)\n",
    "y_train_pred_lasso = lasso.predict(X_train)\n",
    "\n",
    "\n",
    "# 评估，使用r2_score评价模型在测试集和训练集上的性能\n",
    "print ('The r2 score of LassoCV on test is', r2_score(y_test, y_test_pred_lasso))\n",
    "print ('The r2 score of LassoCV on train is', r2_score(y_train, y_train_pred_lasso))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SEWlw1mzdx8+eX8jxXVvz6wuP10mHCaZCIiINyv7CYiZMzSM1xXh03HCapqeGHanB0zES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\nUeAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1100c0390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alpha is: 0.0001\n"
     ]
    }
   ],
   "source": [
    "mses = np.mean(lasso.mse_path_, axis = 1)\n",
    "plt.plot(np.log10(lasso.alphas_), mses) \n",
    "#plt.plot(np.log10(lasso.alphas_)*np.ones(3), [0.3, 0.4, 1.0])\n",
    "plt.xlabel('log(alpha)')\n",
    "plt.ylabel('mse')\n",
    "plt.show()    \n",
    "            \n",
    "print ('alpha is:', lasso.alpha_)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
